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150769632 = 2531329293
BaseRepresentation
bin10001111110010…
…00111111100000
3101111200220001110
420333020333200
5302044112012
622543303320
73510343416
oct1077107740
9344626043
10150769632
1178118502
12425aab40
132530b300
14160492b6
15d38273c
hex8fc8fe0

150769632 has 72 divisors (see below), whose sum is σ = 428602104. Its totient is φ = 46385664.

The previous prime is 150769627. The next prime is 150769639. The reversal of 150769632 is 236967051.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150769639) 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, 11578 + ... + 20870.

It is an arithmetic number, because the mean of its divisors is an integer number (5952807).

Almost surely, 2150769632 is an apocalyptic number.

150769632 is a gapful number since it is divisible by the number (12) 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 150769632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214301052).

150769632 is an abundant number, since it is smaller than the sum of its proper divisors (277832472).

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

150769632 is a wasteful number, since it uses less digits than its factorization.

150769632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9332 (or 9311 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 39.

The square root of 150769632 is about 12278.8286086255. The cubic root of 150769632 is about 532.2364637466.

The spelling of 150769632 in words is "one hundred fifty million, seven hundred sixty-nine thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 169 208 312 338 416 507 624 676 1014 1248 1352 2028 2704 4056 5408 8112 9293 16224 18586 27879 37172 55758 74344 111516 120809 148688 223032 241618 297376 362427 446064 483236 724854 892128 966472 1449708 1570517 1932944 2899416 3141034 3865888 4711551 5798832 6282068 9423102 11597664 12564136 18846204 25128272 37692408 50256544 75384816 150769632