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151000064 = 210167883
BaseRepresentation
bin10010000000000…
…01010000000000
3101112010121010222
421000001100000
5302124000224
622552242212
73512323265
oct1100012000
9345117128
10151000064
1178265646
12426a0368
132538c167
14160a926c
15d3cab5e
hex9001400

151000064 has 44 divisors (see below), whose sum is σ = 304004064. Its totient is φ = 74962944.

The previous prime is 151000061. The next prime is 151000117. The reversal of 151000064 is 460000151.

It is a happy number.

It is a super-3 number, since 3×1510000643 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151000061) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 170567 + ... + 171449.

Almost surely, 2151000064 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 151000064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152002032).

151000064 is an abundant number, since it is smaller than the sum of its proper divisors (153004000).

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

151000064 is an equidigital number, since it uses as much as digits as its factorization.

151000064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 151000064 is about 12288.2083315673. The cubic root of 151000064 is about 532.5074773943.

The spelling of 151000064 in words is "one hundred fifty-one million, sixty-four", and thus it is an aban number.

Divisors: 1 2 4 8 16 32 64 128 167 256 334 512 668 883 1024 1336 1766 2672 3532 5344 7064 10688 14128 21376 28256 42752 56512 85504 113024 147461 171008 226048 294922 452096 589844 904192 1179688 2359376 4718752 9437504 18875008 37750016 75500032 151000064