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1042120512 = 26331931741
BaseRepresentation
bin111110000111010…
…111111101000000
32200121221012121000
4332013113331000
54113240324022
6251224132000
734552610136
oct7607277500
92617835530
101042120512
11495282624
12251007000
13137b96c74
149c593756
15617516ac
hex3e1d7f40

1042120512 has 112 divisors (see below), whose sum is σ = 3224987200. Its totient is φ = 329080320.

The previous prime is 1042120507. The next prime is 1042120549. The reversal of 1042120512 is 2150212401.

It is a super-2 number, since 2×10421205122 = 2172030323062284288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16962 + ... + 48702.

Almost surely, 21042120512 is an apocalyptic number.

1042120512 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 1042120512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612493600).

1042120512 is an abundant number, since it is smaller than the sum of its proper divisors (2182866688).

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

1042120512 is a wasteful number, since it uses less digits than its factorization.

1042120512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31781 (or 31765 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1042120512 is about 32281.8913944025. The cubic root of 1042120512 is about 1013.8475314328.

Adding to 1042120512 its reverse (2150212401), we get a palindrome (3192332913).

The spelling of 1042120512 in words is "one billion, forty-two million, one hundred twenty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 144 152 171 192 216 228 288 304 342 432 456 513 576 608 684 864 912 1026 1216 1368 1728 1824 2052 2736 3648 4104 5472 8208 10944 16416 31741 32832 63482 95223 126964 190446 253928 285669 380892 507856 571338 603079 761784 857007 1015712 1142676 1206158 1523568 1714014 1809237 2031424 2285352 2412316 3047136 3428028 3618474 4570704 4824632 5427711 6094272 6856056 7236948 9141408 9649264 10855422 13712112 14473896 16283133 18282816 19298528 21710844 27424224 28947792 32566266 38597056 43421688 54848448 57895584 65132532 86843376 115791168 130265064 173686752 260530128 347373504 521060256 1042120512