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131231940 = 223571671871
BaseRepresentation
bin1111101001001…
…11000011000100
3100010221021101020
413310213003010
5232043410230
621004431140
73152311260
oct764470304
9303837336
10131231940
1168093554
1237b484b0
132125a448
14136010a0
15b7c3810
hex7d270c4

131231940 has 96 divisors (see below), whose sum is σ = 422682624. Its totient is φ = 29800320.

The previous prime is 131231929. The next prime is 131231941. The reversal of 131231940 is 49132131.

It is a self number, because there is not a number n which added to its sum of digits gives 131231940.

It is not an unprimeable number, because it can be changed into a prime (131231941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69205 + ... + 71075.

It is an arithmetic number, because the mean of its divisors is an integer number (4402944).

Almost surely, 2131231940 is an apocalyptic number.

131231940 is a gapful number since it is divisible by the number (10) 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 131231940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211341312).

131231940 is an abundant number, since it is smaller than the sum of its proper divisors (291450684).

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

131231940 is a wasteful number, since it uses less digits than its factorization.

131231940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2057 (or 2055 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 131231940 is about 11455.6510072540. The cubic root of 131231940 is about 508.1748679818.

The spelling of 131231940 in words is "one hundred thirty-one million, two hundred thirty-one thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 167 210 334 420 501 668 835 1002 1169 1670 1871 2004 2338 2505 3340 3507 3742 4676 5010 5613 5845 7014 7484 9355 10020 11226 11690 13097 14028 17535 18710 22452 23380 26194 28065 35070 37420 39291 52388 56130 65485 70140 78582 112260 130970 157164 196455 261940 312457 392910 624914 785820 937371 1249828 1562285 1874742 2187199 3124570 3749484 4374398 4686855 6249140 6561597 8748796 9373710 10935995 13123194 18747420 21871990 26246388 32807985 43743980 65615970 131231940