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1332620016 = 243713714297
BaseRepresentation
bin100111101101110…
…0010101011110000
310102212120002222220
41033123202223300
510212122320031
6340122401040
745011040360
oct11733425360
93385502886
101332620016
11624258162
12312360180
13183119670
14c8db29a0
157bed5596
hex4f6e2af0

1332620016 has 160 divisors (see below), whose sum is σ = 4297724928. Its totient is φ = 346429440.

The previous prime is 1332619991. The next prime is 1332620039. The reversal of 1332620016 is 6100262331.

It is a happy number.

It is a super-2 number, since 2×13326200162 = 3551752214087680512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 31 ways as a sum of consecutive naturals, for example, 307980 + ... + 312276.

Almost surely, 21332620016 is an apocalyptic number.

1332620016 is a gapful number since it is divisible by the number (16) 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 1332620016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2148862464).

1332620016 is an abundant number, since it is smaller than the sum of its proper divisors (2965104912).

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

1332620016 is a wasteful number, since it uses less digits than its factorization.

1332620016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4399 (or 4393 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 1332620016 is about 36505.0683604346. The cubic root of 1332620016 is about 1100.4461044575.

Adding to 1332620016 its reverse (6100262331), we get a palindrome (7432882347).

The spelling of 1332620016 in words is "one billion, three hundred thirty-two million, six hundred twenty thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 71 78 84 91 104 112 142 156 168 182 208 213 273 284 312 336 364 426 497 546 568 624 728 852 923 994 1092 1136 1456 1491 1704 1846 1988 2184 2769 2982 3408 3692 3976 4297 4368 5538 5964 6461 7384 7952 8594 11076 11928 12891 12922 14768 17188 19383 22152 23856 25782 25844 30079 34376 38766 44304 51564 51688 55861 60158 68752 77532 90237 103128 103376 111722 120316 155064 167583 180474 206256 223444 240632 305087 310128 335166 360948 391027 446888 481264 610174 670332 721896 782054 893776 915261 1173081 1220348 1340664 1443792 1564108 1830522 2135609 2346162 2440696 2681328 3128216 3661044 3966131 4271218 4692324 4881392 6256432 6406827 7322088 7932262 8542436 9384648 11898393 12813654 14644176 15864524 17084872 18769296 23796786 25627308 27762917 31729048 34169744 47593572 51254616 55525834 63458096 83288751 95187144 102509232 111051668 166577502 190374288 222103336 333155004 444206672 666310008 1332620016