Search a number
-
+
150377664 = 2637310729
BaseRepresentation
bin10001111011010…
…01010011000000
3101110221222101010
420331221103000
5301444041124
622531040520
73504121563
oct1075512300
9343858333
10150377664
117797aa68
1242440140
1325201a88
1415d864da
15d306529
hex8f694c0

150377664 has 56 divisors (see below), whose sum is σ = 403362160. Its totient is φ = 49434624.

The previous prime is 150377663. The next prime is 150377677. The reversal of 150377664 is 466773051.

It is a super-2 number, since 2×1503776642 = 45226883660193792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150377663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8652 + ... + 19380.

Almost surely, 2150377664 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 150377664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201681080).

150377664 is an abundant number, since it is smaller than the sum of its proper divisors (252984496).

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

150377664 is a wasteful number, since it uses less digits than its factorization.

150377664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10817 (or 10807 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The square root of 150377664 is about 12262.8570896019. The cubic root of 150377664 is about 531.7748307473.

The spelling of 150377664 in words is "one hundred fifty million, three hundred seventy-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 146 192 219 292 438 584 876 1168 1752 2336 3504 4672 7008 10729 14016 21458 32187 42916 64374 85832 128748 171664 257496 343328 514992 686656 783217 1029984 1566434 2059968 2349651 3132868 4699302 6265736 9398604 12531472 18797208 25062944 37594416 50125888 75188832 150377664