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151398968 = 2373789821
BaseRepresentation
bin10010000011000…
…10101000111000
3101112212212100012
421001202220320
5302224231333
623005001052
73515604260
oct1101425070
9345785305
10151398968
1178508316
1242853188
132549b8b6
14161707a0
15d458e48
hex9062a38

151398968 has 64 divisors (see below), whose sum is σ = 337348800. Its totient is φ = 62346240.

The previous prime is 151398943. The next prime is 151398977. The reversal of 151398968 is 869893151.

It is a happy number.

It is a super-2 number, since 2×1513989682 = 45843295022930048, which contains 22 as substring.

Its product of digits (466560) is a multiple of the sum of its prime factors (960).

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, 183998 + ... + 184818.

It is an arithmetic number, because the mean of its divisors is an integer number (5271075).

Almost surely, 2151398968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151398968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168674400).

151398968 is an abundant number, since it is smaller than the sum of its proper divisors (185949832).

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

151398968 is a wasteful number, since it uses less digits than its factorization.

151398968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 956 counting only the distinct ones).

The product of its digits is 466560, while the sum is 50.

The square root of 151398968 is about 12304.4287961693. The cubic root of 151398968 is about 532.9759817963.

The spelling of 151398968 in words is "one hundred fifty-one million, three hundred ninety-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 37 56 74 89 148 178 259 296 356 518 623 712 821 1036 1246 1642 2072 2492 3284 3293 4984 5747 6568 6586 11494 13172 22988 23051 26344 30377 45976 46102 60754 73069 92204 121508 146138 184408 212639 243016 292276 425278 511483 584552 850556 1022966 1701112 2045932 2703553 4091864 5407106 10814212 18924871 21628424 37849742 75699484 151398968