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150657164 = 22725314503
BaseRepresentation
bin10001111101011…
…01100010001100
3101111111011202222
420332231202030
5302032012124
622541034512
73506364500
oct1076554214
9344434688
10150657164
1178050a59
1242555a38
132529c068
141601a300
15d35e25e
hex8fad88c

150657164 has 36 divisors (see below), whose sum is σ = 312503184. Its totient is φ = 63344736.

The previous prime is 150657161. The next prime is 150657191. The reversal of 150657164 is 461756051.

150657164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (150657161) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3137 + ... + 17639.

It is an arithmetic number, because the mean of its divisors is an integer number (8680644).

Almost surely, 2150657164 is an apocalyptic number.

150657164 is a gapful number since it is divisible by the number (14) 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 150657164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156251592).

150657164 is an abundant number, since it is smaller than the sum of its proper divisors (161846020).

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

150657164 is a wasteful number, since it uses less digits than its factorization.

150657164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14574 (or 14565 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 35.

The square root of 150657164 is about 12274.2480014052. The cubic root of 150657164 is about 532.1040885898.

The spelling of 150657164 in words is "one hundred fifty million, six hundred fifty-seven thousand, one hundred sixty-four".

Divisors: 1 2 4 7 14 28 49 53 98 106 196 212 371 742 1484 2597 5194 10388 14503 29006 58012 101521 203042 406084 710647 768659 1421294 1537318 2842588 3074636 5380613 10761226 21522452 37664291 75328582 150657164