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131032260 = 223251742821
BaseRepresentation
bin1111100111101…
…10010011000100
3100010120010110200
413303312103010
5232021013020
621000250500
73150520152
oct763662304
9303503420
10131032260
1167a67527
1237a70a30
13211ba5a8
141358c3d2
15b784590
hex7cf64c4

131032260 has 72 divisors (see below), whose sum is σ = 420854616. Its totient is φ = 32885760.

The previous prime is 131032259. The next prime is 131032273. The reversal of 131032260 is 62230131.

It can be written as a sum of positive squares in 4 ways, for example, as 4334724 + 126697536 = 2082^2 + 11256^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18351 + ... + 24470.

It is an arithmetic number, because the mean of its divisors is an integer number (5845203).

Almost surely, 2131032260 is an apocalyptic number.

131032260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131032260 is an abundant number, since it is smaller than the sum of its proper divisors (289822356).

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

131032260 is a wasteful number, since it uses less digits than its factorization.

131032260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42853 (or 42848 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 131032260 is about 11446.9323401512. The cubic root of 131032260 is about 507.9169941051.

Adding to 131032260 its reverse (62230131), we get a palindrome (193262391).

The spelling of 131032260 in words is "one hundred thirty-one million, thirty-two thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 42821 85642 128463 171284 214105 256926 385389 428210 513852 642315 727957 770778 856420 1284630 1455914 1541556 1926945 2183871 2569260 2911828 3639785 3853890 4367742 6551613 7279570 7707780 8735484 10919355 13103226 14559140 21838710 26206452 32758065 43677420 65516130 131032260