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1512940032 = 29341912
BaseRepresentation
bin101101000101101…
…1010001000000000
310220102212022120000
41122023122020000
511044303040112
6410043320000
752330530612
oct13213321000
93812768500
101512940032
1170701926a
12362820000
131b15a30b6
14104d10db2
158cc537dc
hex5a2da200

1512940032 has 150 divisors (see below), whose sum is σ = 4539493959. Its totient is φ = 501672960.

The previous prime is 1512940031. The next prime is 1512940043. The reversal of 1512940032 is 2300492151.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 756470016 + 756470016 = 27504^2 + 27504^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=27504.

It is a super-2 number, since 2×15129400322 = 4577975080856322048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1512939978 and 1512940005.

It is not an unprimeable number, because it can be changed into a prime (1512940031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 7921057 + ... + 7921247.

Almost surely, 21512940032 is an apocalyptic number.

1512940032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1512940032

1512940032 is an abundant number, since it is smaller than the sum of its proper divisors (3026553927).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1512940032 is an frugal number, since it uses more digits than its factorization.

1512940032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1512940032 is about 38896.5298195096. The cubic root of 1512940032 is about 1147.9965197157.

The spelling of 1512940032 in words is "one billion, five hundred twelve million, nine hundred forty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 191 192 216 256 288 324 382 384 432 512 573 576 648 764 768 864 1146 1152 1296 1528 1536 1719 1728 2292 2304 2592 3056 3438 3456 4584 4608 5157 5184 6112 6876 6912 9168 10314 10368 12224 13752 13824 15471 18336 20628 20736 24448 27504 30942 36481 36672 41256 41472 48896 55008 61884 72962 73344 82512 97792 109443 110016 123768 145924 146688 165024 218886 220032 247536 291848 293376 328329 330048 437772 440064 495072 583696 656658 660096 875544 880128 984987 990144 1167392 1313316 1320192 1751088 1969974 1980288 2334784 2626632 2640384 2954961 3502176 3939948 3960576 4669568 5253264 5909922 7004352 7879896 7921152 9339136 10506528 11819844 14008704 15759792 18678272 21013056 23639688 28017408 31519584 42026112 47279376 56034816 63039168 84052224 94558752 126078336 168104448 189117504 252156672 378235008 504313344 756470016 1512940032