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131971248 = 2433305489
BaseRepresentation
bin1111101110110…
…11100010110000
3100012022211112000
413313123202300
5232241034443
621032334000
73161510553
oct767334260
9305284460
10131971248
1168548a52
1238244300
1321458ac6
141375469a
15b8bc8d3
hex7ddb8b0

131971248 has 40 divisors (see below), whose sum is σ = 378807600. Its totient is φ = 43990272.

The previous prime is 131971223. The next prime is 131971261. The reversal of 131971248 is 842179131.

It is a happy number.

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

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, 152313 + ... + 153176.

It is an arithmetic number, because the mean of its divisors is an integer number (9470190).

Almost surely, 2131971248 is an apocalyptic number.

131971248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

131971248 is an abundant number, since it is smaller than the sum of its proper divisors (246836352).

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

131971248 is a wasteful number, since it uses less digits than its factorization.

131971248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305506 (or 305494 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 131971248 is about 11487.8739547403. The cubic root of 131971248 is about 509.1273658648.

The spelling of 131971248 in words is "one hundred thirty-one million, nine hundred seventy-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 305489 610978 916467 1221956 1832934 2443912 2749401 3665868 4887824 5498802 7331736 8248203 10997604 14663472 16496406 21995208 32992812 43990416 65985624 131971248