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120464057 = 7172967521
BaseRepresentation
bin1110010111000…
…10001010111001
322101200012121202
413023202022321
5221314322212
615541543545
72661633110
oct713421271
9271605552
10120464057
1161aa947a
1234414bb5
131bc5a20c
1411ddac77
15a8980c2
hex72e22b9

120464057 has 32 divisors (see below), whose sum is σ = 153342720. Its totient is φ = 92252160.

The previous prime is 120464039. The next prime is 120464093. The reversal of 120464057 is 750464021.

It is not a de Polignac number, because 120464057 - 212 = 120459961 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (120464557) 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, 230957 + ... + 231477.

It is an arithmetic number, because the mean of its divisors is an integer number (4791960).

Almost surely, 2120464057 is an apocalyptic number.

120464057 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

120464057 is a deficient number, since it is larger than the sum of its proper divisors (32878663).

120464057 is a wasteful number, since it uses less digits than its factorization.

120464057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641.

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 120464057 is about 10975.6119191597. The cubic root of 120464057 is about 493.8774097945.

The spelling of 120464057 in words is "one hundred twenty million, four hundred sixty-four thousand, fifty-seven".

Divisors: 1 7 17 29 67 119 203 469 493 521 1139 1943 3451 3647 7973 8857 13601 15109 33031 34907 61999 105763 231217 244349 256853 593419 1012303 1797971 4153933 7086121 17209151 120464057