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120960256 = 28895309
BaseRepresentation
bin1110011010110…
…11010100000000
322102121102021111
413031123110000
5221431212011
620000333104
72666100544
oct715332400
9272542244
10120960256
116230825a
1234614194
131c0a2021
14120c9a24
15a945121
hex735b500

120960256 has 36 divisors (see below), whose sum is σ = 244206900. Its totient is φ = 59789312.

The previous prime is 120960239. The next prime is 120960269. The reversal of 120960256 is 652069021.

It can be written as a sum of positive squares in 2 ways, for example, as 7750656 + 113209600 = 2784^2 + 10640^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20130 + ... + 25438.

It is an arithmetic number, because the mean of its divisors is an integer number (6783525).

Almost surely, 2120960256 is an apocalyptic number.

120960256 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 120960256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122103450).

120960256 is an abundant number, since it is smaller than the sum of its proper divisors (123246644).

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

120960256 is an frugal number, since it uses more digits than its factorization.

120960256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5414 (or 5400 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 120960256 is about 10998.1933061753. The cubic root of 120960256 is about 494.5545848687.

The spelling of 120960256 in words is "one hundred twenty million, nine hundred sixty thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 89 128 178 256 356 712 1424 2848 5309 5696 10618 11392 21236 22784 42472 84944 169888 339776 472501 679552 945002 1359104 1890004 3780008 7560016 15120032 30240064 60480128 120960256