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120960480 = 2535252001
BaseRepresentation
bin1110011010110…
…11010111100000
322102121102120210
413031123113200
5221431213410
620000334120
72666101314
oct715332740
9272542523
10120960480
1162308443
1234614340
131c0a2164
14120c9b44
15a945220
hex735b5e0

120960480 has 48 divisors (see below), whose sum is σ = 381027024. Its totient is φ = 32256000.

The previous prime is 120960467. The next prime is 120960487. The reversal of 120960480 is 84069021.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120960487) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125521 + ... + 126480.

It is an arithmetic number, because the mean of its divisors is an integer number (7938063).

Almost surely, 2120960480 is an apocalyptic number.

120960480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120960480 is an abundant number, since it is smaller than the sum of its proper divisors (260066544).

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

120960480 is a wasteful number, since it uses less digits than its factorization.

120960480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252019 (or 252011 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 120960480 is about 10998.2034896614. The cubic root of 120960480 is about 494.5548901484.

The spelling of 120960480 in words is "one hundred twenty million, nine hundred sixty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 252001 504002 756003 1008004 1260005 1512006 2016008 2520010 3024012 3780015 4032016 5040020 6048024 7560030 8064032 10080040 12096048 15120060 20160080 24192096 30240120 40320160 60480240 120960480