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131132160 = 2832511383
BaseRepresentation
bin1111101000011…
…10101100000000
3100010202012111200
413310032230000
5232032212120
621002341200
73151414335
oct764165400
9303665450
10131132160
1168025595
1237aba800
1321223bc3
14135b698c
15b7a3e90
hex7d0eb00

131132160 has 108 divisors (see below), whose sum is σ = 453743472. Its totient is φ = 34965504.

The previous prime is 131132159. The next prime is 131132207. The reversal of 131132160 is 61231131.

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 11 ways as a sum of consecutive naturals, for example, 5829 + ... + 17211.

Almost surely, 2131132160 is an apocalyptic number.

131132160 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 131132160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226871736).

131132160 is an abundant number, since it is smaller than the sum of its proper divisors (322611312).

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

131132160 is a wasteful number, since it uses less digits than its factorization.

131132160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11410 (or 11393 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 131132160 is about 11451.2951232601. The cubic root of 131132160 is about 508.0460412525.

Adding to 131132160 its reverse (61231131), we get a palindrome (192363291).

The spelling of 131132160 in words is "one hundred thirty-one million, one hundred thirty-two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1440 1920 2304 2880 3840 5760 11383 11520 22766 34149 45532 56915 68298 91064 102447 113830 136596 170745 182128 204894 227660 273192 341490 364256 409788 455320 512235 546384 682980 728512 819576 910640 1024470 1092768 1365960 1457024 1639152 1821280 2048940 2185536 2731920 2914048 3278304 3642560 4097880 4371072 5463840 6556608 7285120 8195760 8742144 10927680 13113216 14570240 16391520 21855360 26226432 32783040 43710720 65566080 131132160