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120990624 = 2531260319
BaseRepresentation
bin1110011011000…
…10101110100000
322102122221221020
413031202232200
5221433144444
620001125440
72666255226
oct715425640
9272587836
10120990624
1162329057
1234629880
131c0b2ab1
14120d6b16
15a94e119
hex7362ba0

120990624 has 24 divisors (see below), whose sum is σ = 317600640. Its totient is φ = 40330176.

The previous prime is 120990601. The next prime is 120990641. The reversal of 120990624 is 426099021.

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 630064 + ... + 630255.

It is an arithmetic number, because the mean of its divisors is an integer number (13233360).

Almost surely, 2120990624 is an apocalyptic number.

It is an amenable number.

120990624 is an abundant number, since it is smaller than the sum of its proper divisors (196610016).

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

120990624 is a wasteful number, since it uses less digits than its factorization.

120990624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260332 (or 1260324 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 120990624 is about 10999.5738099255. The cubic root of 120990624 is about 494.5959686462.

The spelling of 120990624 in words is "one hundred twenty million, nine hundred ninety thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1260319 2520638 3780957 5041276 7561914 10082552 15123828 20165104 30247656 40330208 60495312 120990624