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150330656 = 2573121649
BaseRepresentation
bin10001111010111…
…01110100100000
3101110212120220002
420331131310200
5301441040111
622530035132
73503534540
oct1075356440
9343776802
10150330656
1177948713
1242418aa8
13251b6568
1415d73320
15d2e763b
hex8f5dd20

150330656 has 48 divisors (see below), whose sum is σ = 349171200. Its totient is φ = 62346240.

The previous prime is 150330637. The next prime is 150330659. The reversal of 150330656 is 656033051.

150330656 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1503306562 = 45198612266780672, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (150330659) 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, 3881 + ... + 17768.

It is an arithmetic number, because the mean of its divisors is an integer number (7274400).

Almost surely, 2150330656 is an apocalyptic number.

150330656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

150330656 is an abundant number, since it is smaller than the sum of its proper divisors (198840544).

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

150330656 is a wasteful number, since it uses less digits than its factorization.

150330656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21697 (or 21689 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 29.

The square root of 150330656 is about 12260.9402575822. The cubic root of 150330656 is about 531.7194141033.

The spelling of 150330656 in words is "one hundred fifty million, three hundred thirty thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 434 496 868 992 1736 3472 6944 21649 43298 86596 151543 173192 303086 346384 606172 671119 692768 1212344 1342238 2424688 2684476 4697833 4849376 5368952 9395666 10737904 18791332 21475808 37582664 75165328 150330656