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131274480 = 2435546977
BaseRepresentation
bin1111101001100…
…01011011110000
3100011000102201210
413310301123300
5232101240410
621005400120
73152546301
oct764613360
9304012653
10131274480
1168112507
1237b69040
132127390c
14136127a8
15b7d1220
hex7d316f0

131274480 has 40 divisors (see below), whose sum is σ = 406951632. Its totient is φ = 35006464.

The previous prime is 131274463. The next prime is 131274509. The reversal of 131274480 is 84472131.

It is a tau number, because it is divible by the number of its divisors (40).

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

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, 273249 + ... + 273728.

Almost surely, 2131274480 is an apocalyptic number.

131274480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131274480 is an abundant number, since it is smaller than the sum of its proper divisors (275677152).

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

131274480 is a wasteful number, since it uses less digits than its factorization.

131274480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546993 (or 546987 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 131274480 is about 11457.5075823671. The cubic root of 131274480 is about 508.2297718500.

The spelling of 131274480 in words is "one hundred thirty-one million, two hundred seventy-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 546977 1093954 1640931 2187908 2734885 3281862 4375816 5469770 6563724 8204655 8751632 10939540 13127448 16409310 21879080 26254896 32818620 43758160 65637240 131274480