Search a number
-
+
120457152 = 263369709
BaseRepresentation
bin1110010111000…
…00011111000000
322101122212011000
413023200133000
5221314112102
615541452000
72661604014
oct713403700
9271585130
10120457152
1161aa4272
1234411000
131bc5702a
1411dd8544
15a89601c
hex72e07c0

120457152 has 56 divisors (see below), whose sum is σ = 354126800. Its totient is φ = 40151808.

The previous prime is 120457133. The next prime is 120457177. The reversal of 120457152 is 251754021.

It is a super-2 number, since 2×1204571522 = 29019850935902208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33127 + ... + 36582.

Almost surely, 2120457152 is an apocalyptic number.

120457152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120457152 is an abundant number, since it is smaller than the sum of its proper divisors (233669648).

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

120457152 is an equidigital number, since it uses as much as digits as its factorization.

120457152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69730 (or 69714 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 120457152 is about 10975.2973536028. The cubic root of 120457152 is about 493.8679732628.

The spelling of 120457152 in words is "one hundred twenty million, four hundred fifty-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 69709 139418 209127 278836 418254 557672 627381 836508 1115344 1254762 1673016 1882143 2230688 2509524 3346032 3764286 4461376 5019048 6692064 7528572 10038096 13384128 15057144 20076192 30114288 40152384 60228576 120457152