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150364632 = 233111931967
BaseRepresentation
bin10001111011001…
…10000111011000
3101110221022111110
420331212013120
5301443132012
622530500320
73504035565
oct1075460730
9343838443
10150364632
11779711a0
12424346a0
13251c8b72
1415d8186c
15d30273c
hex8f661d8

150364632 has 128 divisors (see below), whose sum is σ = 446054400. Its totient is φ = 41731200.

The previous prime is 150364631. The next prime is 150364673. The reversal of 150364632 is 236463051.

150364632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 150364632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150364631) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155013 + ... + 155979.

It is an arithmetic number, because the mean of its divisors is an integer number (3484800).

Almost surely, 2150364632 is an apocalyptic number.

150364632 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 150364632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223027200).

150364632 is an abundant number, since it is smaller than the sum of its proper divisors (295689768).

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

150364632 is a wasteful number, since it uses less digits than its factorization.

150364632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 150364632 is about 12262.3257174159. The cubic root of 150364632 is about 531.7594687811.

The spelling of 150364632 in words is "one hundred fifty million, three hundred sixty-four thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 31 33 38 44 57 62 66 76 88 93 114 124 132 152 186 209 228 248 264 341 372 418 456 589 627 682 744 836 967 1023 1178 1254 1364 1672 1767 1934 2046 2356 2508 2728 2901 3534 3868 4092 4712 5016 5802 6479 7068 7736 8184 10637 11604 12958 14136 18373 19437 21274 23208 25916 29977 31911 36746 38874 42548 51832 55119 59954 63822 73492 77748 85096 89931 110238 119908 127644 146984 155496 179862 202103 220476 239816 255288 329747 359724 404206 440952 569563 606309 659494 719448 808412 989241 1139126 1212618 1318988 1616824 1708689 1978482 2278252 2425236 2637976 3417378 3956964 4556504 4850472 6265193 6834756 7913928 12530386 13669512 18795579 25060772 37591158 50121544 75182316 150364632