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150415232 = 2711317337
BaseRepresentation
bin10001111011100…
…10011110000000
3101111000212220112
420331302132000
5302001241412
622531530452
73504336242
oct1075623600
9344025815
10150415232
11779a6210
1242459a28
1325215bc6
1415d96092
15d312722
hex8f72780

150415232 has 64 divisors (see below), whose sum is σ = 328901040. Its totient is φ = 67952640.

The previous prime is 150415231. The next prime is 150415241. The reversal of 150415232 is 232514051.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1504152322 = 45249484035227648, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 150415198 and 150415207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150415231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 446168 + ... + 446504.

Almost surely, 2150415232 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 150415232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164450520).

150415232 is an abundant number, since it is smaller than the sum of its proper divisors (178485808).

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

150415232 is a wasteful number, since it uses less digits than its factorization.

150415232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 150415232 is about 12264.3887740075. The cubic root of 150415232 is about 531.8191104914.

Adding to 150415232 its reverse (232514051), we get a palindrome (382929283).

The spelling of 150415232 in words is "one hundred fifty million, four hundred fifteen thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 317 337 352 634 674 704 1268 1348 1408 2536 2696 3487 3707 5072 5392 6974 7414 10144 10784 13948 14828 20288 21568 27896 29656 40576 43136 55792 59312 106829 111584 118624 213658 223168 237248 427316 446336 474496 854632 1175119 1709264 2350238 3418528 4700476 6837056 9400952 13674112 18801904 37603808 75207616 150415232