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120660256 = 25371011009
BaseRepresentation
bin1110011000100…
…10000100100000
322102001011202101
413030102010200
5221342112011
615550100144
72663411113
oct714220440
9272034671
10120660256
1162122922
12344aa654
131bcc8602
141204c57a
15a8d62c1
hex7312120

120660256 has 48 divisors (see below), whose sum is σ = 246629880. Its totient is φ = 58060800.

The previous prime is 120660247. The next prime is 120660263. The reversal of 120660256 is 652066021.

It can be written as a sum of positive squares in 4 ways, for example, as 120560400 + 99856 = 10980^2 + 316^2 .

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, 119080 + ... + 120088.

Almost surely, 2120660256 is an apocalyptic number.

120660256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120660256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123314940).

120660256 is an abundant number, since it is smaller than the sum of its proper divisors (125969624).

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

120660256 is a wasteful number, since it uses less digits than its factorization.

120660256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 120660256 is about 10984.5462355074. The cubic root of 120660256 is about 494.1453893009.

The spelling of 120660256 in words is "one hundred twenty million, six hundred sixty thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 32 37 74 101 148 202 296 404 592 808 1009 1184 1616 2018 3232 3737 4036 7474 8072 14948 16144 29896 32288 37333 59792 74666 101909 119584 149332 203818 298664 407636 597328 815272 1194656 1630544 3261088 3770633 7541266 15082532 30165064 60330128 120660256