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151055838 = 23229472131
BaseRepresentation
bin10010000000011…
…10110111011110
3101112020102122200
421000032313132
5302132241323
622553352330
73512645013
oct1100166736
9345212580
10151055838
11782a353a
12427086a6
13253ab66b
14160c170a
15d3dc443
hex900edde

151055838 has 72 divisors (see below), whose sum is σ = 348571080. Its totient is φ = 47218080.

The previous prime is 151055831. The next prime is 151055843. The reversal of 151055838 is 838550151.

151055838 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151055831) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1153033 + ... + 1153163.

It is an arithmetic number, because the mean of its divisors is an integer number (4841265).

Almost surely, 2151055838 is an apocalyptic number.

151055838 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 151055838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174285540).

151055838 is an abundant number, since it is smaller than the sum of its proper divisors (197515242).

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

151055838 is a wasteful number, since it uses less digits than its factorization.

151055838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 36.

The square root of 151055838 is about 12290.4775334403. The cubic root of 151055838 is about 532.5730323689.

The spelling of 151055838 in words is "one hundred fifty-one million, fifty-five thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 9 18 29 47 58 87 94 131 141 174 261 262 282 393 423 522 786 846 1179 1363 2209 2358 2726 3799 4089 4418 6157 6627 7598 8178 11397 12267 12314 13254 18471 19881 22794 24534 34191 36942 39762 55413 64061 68382 110826 128122 178553 192183 289379 357106 384366 535659 576549 578758 868137 1071318 1153098 1606977 1736274 2604411 3213954 5208822 8391991 16783982 25175973 50351946 75527919 151055838