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155107152 = 24321935581
BaseRepresentation
bin10010011111010…
…11111101010000
3101210212021000100
421033223331100
5304201412102
623220252400
73562250304
oct1117537520
9353767010
10155107152
117a610332
1243b41100
13261996a5
1416857d04
15d93ca1c
hex93ebf50

155107152 has 60 divisors (see below), whose sum is σ = 436411924. Its totient is φ = 51425280.

The previous prime is 155107151. The next prime is 155107157. The reversal of 155107152 is 251701551.

It can be written as a sum of positive squares in 2 ways, for example, as 43086096 + 112021056 = 6564^2 + 10584^2 .

It is a super-2 number, since 2×1551071522 = 48116457203102208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155107151) 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, 25002 + ... + 30582.

Almost surely, 2155107152 is an apocalyptic number.

155107152 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 155107152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218205962).

155107152 is an abundant number, since it is smaller than the sum of its proper divisors (281304772).

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

155107152 is a wasteful number, since it uses less digits than its factorization.

155107152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5788 (or 5779 counting only the distinct ones).

The product of its (nonzero) digits is 1750, while the sum is 27.

The square root of 155107152 is about 12454.2021823961. The cubic root of 155107152 is about 537.2922890956.

The spelling of 155107152 in words is "one hundred fifty-five million, one hundred seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 193 386 579 772 1158 1544 1737 2316 3088 3474 4632 5581 6948 9264 11162 13896 16743 22324 27792 33486 44648 50229 66972 89296 100458 133944 200916 267888 401832 803664 1077133 2154266 3231399 4308532 6462798 8617064 9694197 12925596 17234128 19388394 25851192 38776788 51702384 77553576 155107152