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131973048 = 233212311489
BaseRepresentation
bin1111101110110…
…11111110111000
3100012022220222200
413313123332320
5232241114143
621032350200
73161516034
oct767337670
9305286880
10131973048
116854a339
1238245360
132145987c
14137551c4
15b8bd1d3
hex7ddbfb8

131973048 has 48 divisors (see below), whose sum is σ = 357957600. Its totient is φ = 43925760.

The previous prime is 131973041. The next prime is 131973053. The reversal of 131973048 is 840379131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131973041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87888 + ... + 89376.

It is an arithmetic number, because the mean of its divisors is an integer number (7457450).

Almost surely, 2131973048 is an apocalyptic number.

131973048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

131973048 is an abundant number, since it is smaller than the sum of its proper divisors (225984552).

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

131973048 is a wasteful number, since it uses less digits than its factorization.

131973048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2732 (or 2725 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 131973048 is about 11487.9522979511. The cubic root of 131973048 is about 509.1296805737.

The spelling of 131973048 in words is "one hundred thirty-one million, nine hundred seventy-three thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1231 1489 2462 2978 3693 4467 4924 5956 7386 8934 9848 11079 11912 13401 14772 17868 22158 26802 29544 35736 44316 53604 88632 107208 1832959 3665918 5498877 7331836 10997754 14663672 16496631 21995508 32993262 43991016 65986524 131973048