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131165540 = 225111722063
BaseRepresentation
bin1111101000101…
…10110101100100
3100010210220021222
413310112311210
5232034244130
621003155512
73151613552
oct764266544
9303726258
10131165540
1168048680
1237b15b98
132123615c
14135c4bd2
15b7adce5
hex7d16d64

131165540 has 72 divisors (see below), whose sum is σ = 319358592. Its totient is φ = 44869120.

The previous prime is 131165539. The next prime is 131165549. The reversal of 131165540 is 45561131.

It is not an unprimeable number, because it can be changed into a prime (131165549) 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, 62549 + ... + 64611.

It is an arithmetic number, because the mean of its divisors is an integer number (4435536).

Almost surely, 2131165540 is an apocalyptic number.

131165540 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 131165540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159679296).

131165540 is an abundant number, since it is smaller than the sum of its proper divisors (188193052).

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

131165540 is a wasteful number, since it uses less digits than its factorization.

131165540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2117 (or 2098 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 131165540 is about 11452.7525075852. The cubic root of 131165540 is about 508.0891457005.

The spelling of 131165540 in words is "one hundred thirty-one million, one hundred sixty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 289 340 374 578 748 935 1156 1445 1870 2063 2890 3179 3740 4126 5780 6358 8252 10315 12716 15895 20630 22693 31790 35071 41260 45386 63580 70142 90772 113465 140284 175355 226930 350710 385781 453860 596207 701420 771562 1192414 1543124 1928905 2384828 2981035 3857810 5962070 6558277 7715620 11924140 13116554 26233108 32791385 65582770 131165540