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131427780 = 223511243421
BaseRepresentation
bin1111101010101…
…10110111000100
3100011022020000120
413311112313010
5232121142110
621012541540
73154055241
oct765266704
9304266016
10131427780
1168207700
12380218b0
13212c8623
14136525c8
15b811870
hex7d56dc4

131427780 has 144 divisors (see below), whose sum is σ = 414883392. Its totient is φ = 31046400.

The previous prime is 131427767. The next prime is 131427781. The reversal of 131427780 is 87724131.

It is a happy number.

It is a super-2 number, since 2×1314277802 = 34546522711456800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (131427781) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 311970 + ... + 312390.

Almost surely, 2131427780 is an apocalyptic number.

131427780 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 131427780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207441696).

131427780 is an abundant number, since it is smaller than the sum of its proper divisors (283455612).

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

131427780 is a wasteful number, since it uses less digits than its factorization.

131427780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 131427780 is about 11464.1955670688. The cubic root of 131427780 is about 508.4275287833.

The spelling of 131427780 in words is "one hundred thirty-one million, four hundred twenty-seven thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 43 44 55 60 66 86 110 121 129 132 165 172 215 220 242 258 330 363 421 430 473 484 516 605 645 660 726 842 860 946 1210 1263 1290 1419 1452 1684 1815 1892 2105 2365 2420 2526 2580 2838 3630 4210 4631 4730 5052 5203 5676 6315 7095 7260 8420 9262 9460 10406 12630 13893 14190 15609 18103 18524 20812 23155 25260 26015 27786 28380 31218 36206 46310 50941 52030 54309 55572 62436 69465 72412 78045 90515 92620 101882 104060 108618 138930 152823 156090 181030 199133 203764 217236 254705 271545 277860 305646 312180 362060 398266 509410 543090 597399 611292 764115 796532 995665 1018820 1086180 1194798 1528230 1991330 2190463 2389596 2986995 3056460 3982660 4380926 5973990 6571389 8761852 10952315 11947980 13142778 21904630 26285556 32856945 43809260 65713890 131427780