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155065968 = 24333111579
BaseRepresentation
bin10010011111000…
…01111001110000
3101210210011112000
421033201321300
5304144102333
623215334000
73562016241
oct1117417160
9353704460
10155065968
117a5923a2
1243b21300
1326183a15
1416846cc8
15d930713
hex93e1e70

155065968 has 80 divisors (see below), whose sum is σ = 459494400. Its totient is φ = 50016960.

The previous prime is 155065921. The next prime is 155065979. The reversal of 155065968 is 869560551.

It is a happy number.

155065968 is a `hidden beast` number, since 1 + 5 + 50 + 6 + 596 + 8 = 666.

155065968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7603 + ... + 19181.

It is an arithmetic number, because the mean of its divisors is an integer number (5743680).

Almost surely, 2155065968 is an apocalyptic number.

155065968 is a gapful number since it is divisible by the number (18) 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 155065968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229747200).

155065968 is an abundant number, since it is smaller than the sum of its proper divisors (304428432).

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

155065968 is a wasteful number, since it uses less digits than its factorization.

155065968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11627 (or 11615 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The square root of 155065968 is about 12452.5486547935. The cubic root of 155065968 is about 537.2447309955.

The spelling of 155065968 in words is "one hundred fifty-five million, sixty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 93 108 124 144 186 216 248 279 372 432 496 558 744 837 1116 1488 1674 2232 3348 4464 6696 11579 13392 23158 34737 46316 69474 92632 104211 138948 185264 208422 277896 312633 358949 416844 555792 625266 717898 833688 1076847 1250532 1435796 1667376 2153694 2501064 2871592 3230541 4307388 5002128 5743184 6461082 8614776 9691623 12922164 17229552 19383246 25844328 38766492 51688656 77532984 155065968