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120053232 = 24331321377
BaseRepresentation
bin1110010011111…
…01110111110000
322100220100002000
413021331313300
5221213200412
615525054000
72655302265
oct711756760
9270810060
10120053232
1161848852
1234257300
131bb45220
1411d3126c
15a8164dc
hex727ddf0

120053232 has 80 divisors (see below), whose sum is σ = 371122080. Its totient is φ = 36937728.

The previous prime is 120053231. The next prime is 120053233. The reversal of 120053232 is 232350021.

It is an interprime number because it is at equal distance from previous prime (120053231) and next prime (120053233).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120053231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5073 + ... + 16304.

It is an arithmetic number, because the mean of its divisors is an integer number (4639026).

Almost surely, 2120053232 is an apocalyptic number.

120053232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120053232 is an abundant number, since it is smaller than the sum of its proper divisors (251068848).

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

120053232 is a wasteful number, since it uses less digits than its factorization.

120053232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21407 (or 21395 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 120053232 is about 10956.8805779747. The cubic root of 120053232 is about 493.3153381960.

The spelling of 120053232 in words is "one hundred twenty million, fifty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2808 5616 21377 42754 64131 85508 128262 171016 192393 256524 277901 342032 384786 513048 555802 577179 769572 833703 1026096 1111604 1154358 1539144 1667406 2223208 2308716 2501109 3078288 3334812 4446416 4617432 5002218 6669624 7503327 9234864 10004436 13339248 15006654 20008872 30013308 40017744 60026616 120053232