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151055160 = 23353313803
BaseRepresentation
bin10010000000011…
…10101100111000
3101112020101201120
421000032230320
5302132231120
622553345240
73512643024
oct1100165470
9345211646
10151055160
11782a2a83
1242708220
13253ab269
14160c1384
15d3dc140
hex900eb38

151055160 has 64 divisors (see below), whose sum is σ = 454654080. Its totient is φ = 40149120.

The previous prime is 151055159. The next prime is 151055167. The reversal of 151055160 is 61550151.

It is a super-2 number, since 2×1510551602 = 45635322725251200, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 151055160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151055167) 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 15 ways as a sum of consecutive naturals, for example, 37819 + ... + 41621.

It is an arithmetic number, because the mean of its divisors is an integer number (7103970).

Almost surely, 2151055160 is an apocalyptic number.

151055160 is a gapful number since it is divisible by the number (10) 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 151055160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227327040).

151055160 is an abundant number, since it is smaller than the sum of its proper divisors (303598920).

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

151055160 is a wasteful number, since it uses less digits than its factorization.

151055160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4148 (or 4144 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 24.

The square root of 151055160 is about 12290.4499510799. The cubic root of 151055160 is about 532.5722355663.

The spelling of 151055160 in words is "one hundred fifty-one million, fifty-five thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 331 662 993 1324 1655 1986 2648 3310 3803 3972 4965 6620 7606 7944 9930 11409 13240 15212 19015 19860 22818 30424 38030 39720 45636 57045 76060 91272 114090 152120 228180 456360 1258793 2517586 3776379 5035172 6293965 7552758 10070344 12587930 15105516 18881895 25175860 30211032 37763790 50351720 75527580 151055160