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151055632 = 24721314821
BaseRepresentation
bin10010000000011…
…10110100010000
3101112020102101001
421000032310100
5302132240012
622553351344
73512644300
oct1100166420
9345212331
10151055632
11782a3372
1242708554
13253ab540
14160c1600
15d3dc357
hex900ed10

151055632 has 60 divisors (see below), whose sum is σ = 366666636. Its totient is φ = 59754240.

The previous prime is 151055629. The next prime is 151055633. The reversal of 151055632 is 236550151.

It can be written as a sum of positive squares in 2 ways, for example, as 42562576 + 108493056 = 6524^2 + 10416^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 151055632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151055633) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2782 + ... + 17602.

Almost surely, 2151055632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151055632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183333318).

151055632 is an abundant number, since it is smaller than the sum of its proper divisors (215611004).

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

151055632 is a wasteful number, since it uses less digits than its factorization.

151055632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14856 (or 14843 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 28.

The square root of 151055632 is about 12290.4691529656. The cubic root of 151055632 is about 532.5727902728.

The spelling of 151055632 in words is "one hundred fifty-one million, fifty-five thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 182 196 208 364 392 637 728 784 1274 1456 2548 5096 10192 14821 29642 59284 103747 118568 192673 207494 237136 385346 414988 726229 770692 829976 1348711 1452458 1541384 1659952 2697422 2904916 3082768 5394844 5809832 9440977 10789688 11619664 18881954 21579376 37763908 75527816 151055632