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131084280 = 233251721419
BaseRepresentation
bin1111101000000…
…10111111111000
3100010122202211100
413310002333320
5232024144110
621001331400
73151124625
oct764027770
9303582740
10131084280
1167aa2618
1237a96b60
1321208182
14135a334c
15b794bc0
hex7d02ff8

131084280 has 96 divisors (see below), whose sum is σ = 451105200. Its totient is φ = 32898048.

The previous prime is 131084243. The next prime is 131084281. The reversal of 131084280 is 82480131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131084281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4590 + ... + 16829.

Almost surely, 2131084280 is an apocalyptic number.

131084280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131084280 is an abundant number, since it is smaller than the sum of its proper divisors (320020920).

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

131084280 is a wasteful number, since it uses less digits than its factorization.

131084280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21453 (or 21446 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 131084280 is about 11449.2043391670. The cubic root of 131084280 is about 507.9841998103.

The spelling of 131084280 in words is "one hundred thirty-one million, eighty-four thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 2040 3060 6120 21419 42838 64257 85676 107095 128514 171352 192771 214190 257028 321285 364123 385542 428380 514056 642570 728246 771084 856760 963855 1092369 1285140 1456492 1542168 1820615 1927710 2184738 2570280 2912984 3277107 3641230 3855420 4369476 5461845 6554214 7282460 7710840 8738952 10923690 13108428 14564920 16385535 21847380 26216856 32771070 43694760 65542140 131084280