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155108772 = 2232713113419
BaseRepresentation
bin10010011111011…
…00010110100100
3101210212100020100
421033230112210
5304201440042
623220304100
73562255110
oct1117542644
9353770210
10155108772
117a611575
1243b42030
132619a350
1416858740
15d93d24c
hex93ec5a4

155108772 has 144 divisors (see below), whose sum is σ = 487992960. Its totient is φ = 40449024.

The previous prime is 155108743. The next prime is 155108777. The reversal of 155108772 is 277801551.

155108772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (155108777) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 369979 + ... + 370397.

It is an arithmetic number, because the mean of its divisors is an integer number (3388840).

Almost surely, 2155108772 is an apocalyptic number.

155108772 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 155108772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243996480).

155108772 is an abundant number, since it is smaller than the sum of its proper divisors (332884188).

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

155108772 is a wasteful number, since it uses less digits than its factorization.

155108772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 36.

The square root of 155108772 is about 12454.2672205152. The cubic root of 155108772 is about 537.2941596529.

The spelling of 155108772 in words is "one hundred fifty-five million, one hundred eight thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 113 117 126 156 182 226 234 252 273 339 364 419 452 468 546 678 791 819 838 1017 1092 1257 1356 1469 1582 1638 1676 2034 2373 2514 2933 2938 3164 3276 3771 4068 4407 4746 5028 5447 5866 5876 7119 7542 8799 8814 9492 10283 10894 11732 13221 14238 15084 16341 17598 17628 20566 21788 26397 26442 28476 30849 32682 35196 38129 41132 47347 49023 52794 52884 61698 65364 76258 92547 94694 98046 105588 114387 123396 142041 152516 185094 189388 196092 228774 284082 331429 343161 370188 426123 457548 568164 615511 662858 686322 852246 994287 1231022 1325716 1372644 1704492 1846533 1988574 2462044 2982861 3693066 3977148 4308577 5539599 5965722 7386132 8617154 11079198 11931444 12925731 17234308 22158396 25851462 38777193 51702924 77554386 155108772