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151972704 = 25321340591
BaseRepresentation
bin10010000111011…
…10101101100000
3101120222000100200
421003232231200
5302401111304
623025145200
73523514052
oct1103565540
9346860320
10151972704
117886a384
1242a8b200
132563caa0
141627d8d2
15d51de39
hex90eeb60

151972704 has 72 divisors (see below), whose sum is σ = 465427872. Its totient is φ = 46759680.

The previous prime is 151972693. The next prime is 151972729. The reversal of 151972704 is 407279151.

It is a happy number.

151972704 is a `hidden beast` number, since 1 + 519 + 72 + 70 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1519727042 = 46191405522143232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16552 + ... + 24039.

It is an arithmetic number, because the mean of its divisors is an integer number (6464276).

Almost surely, 2151972704 is an apocalyptic number.

It is an amenable number.

151972704 is an abundant number, since it is smaller than the sum of its proper divisors (313455168).

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

151972704 is a wasteful number, since it uses less digits than its factorization.

151972704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40620 (or 40609 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 151972704 is about 12327.7209572573. The cubic root of 151972704 is about 533.6483819146.

The spelling of 151972704 in words is "one hundred fifty-one million, nine hundred seventy-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 40591 81182 121773 162364 243546 324728 365319 487092 527683 649456 730638 974184 1055366 1298912 1461276 1583049 1948368 2110732 2922552 3166098 3896736 4221464 4749147 5845104 6332196 8442928 9498294 11690208 12664392 16885856 18996588 25328784 37993176 50657568 75986352 151972704