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131260920 = 23357307509
BaseRepresentation
bin1111101001011…
…10000111111000
3100010222202010120
413310232013320
5232100322140
621005213240
73152461620
oct764560770
9303882116
10131260920
11681032aa
1237b61220
132126a6ab
141360b880
15b7cc1d0
hex7d2e1f8

131260920 has 128 divisors (see below), whose sum is σ = 452390400. Its totient is φ = 29846016.

The previous prime is 131260901. The next prime is 131260939. The reversal of 131260920 is 29062131.

It is an interprime number because it is at equal distance from previous prime (131260901) and next prime (131260939).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257626 + ... + 258134.

It is an arithmetic number, because the mean of its divisors is an integer number (3534300).

Almost surely, 2131260920 is an apocalyptic number.

131260920 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 131260920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226195200).

131260920 is an abundant number, since it is smaller than the sum of its proper divisors (321129480).

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

131260920 is a wasteful number, since it uses less digits than its factorization.

131260920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837 (or 833 counting only the distinct ones).

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

The square root of 131260920 is about 11456.9158153493. The cubic root of 131260920 is about 508.2122720461.

The spelling of 131260920 in words is "one hundred thirty-one million, two hundred sixty thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 307 420 509 614 840 921 1018 1228 1527 1535 1842 2036 2149 2456 2545 3054 3070 3563 3684 4072 4298 4605 5090 6108 6140 6447 7126 7368 7635 8596 9210 10180 10689 10745 12216 12280 12894 14252 15270 17192 17815 18420 20360 21378 21490 25788 28504 30540 32235 35630 36840 42756 42980 51576 53445 61080 64470 71260 85512 85960 106890 128940 142520 156263 213780 257880 312526 427560 468789 625052 781315 937578 1093841 1250104 1562630 1875156 2187682 2343945 3125260 3281523 3750312 4375364 4687890 5469205 6250520 6563046 8750728 9375780 10938410 13126092 16407615 18751560 21876820 26252184 32815230 43753640 65630460 131260920