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131165340 = 22353197727
BaseRepresentation
bin1111101000101…
…10110010011100
3100010210220000120
413310112302130
5232034242330
621003154540
73151613145
oct764266234
9303726016
10131165340
1168048509
1237b15a50
1321236037
14135c4acc
15b7adc10
hex7d16c9c

131165340 has 96 divisors (see below), whose sum is σ = 383545344. Its totient is φ = 33454080.

The previous prime is 131165327. The next prime is 131165357. The reversal of 131165340 is 43561131.

It is a self number, because there is not a number n which added to its sum of digits gives 131165340.

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, 180057 + ... + 180783.

It is an arithmetic number, because the mean of its divisors is an integer number (3995264).

Almost surely, 2131165340 is an apocalyptic number.

131165340 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 131165340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191772672).

131165340 is an abundant number, since it is smaller than the sum of its proper divisors (252380004).

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

131165340 is a wasteful number, since it uses less digits than its factorization.

131165340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 131165340 is about 11452.7437760565. The cubic root of 131165340 is about 508.0888874571.

The spelling of 131165340 in words is "one hundred thirty-one million, one hundred sixty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 97 124 155 186 194 291 310 372 388 465 485 582 620 727 930 970 1164 1454 1455 1860 1940 2181 2908 2910 3007 3635 4362 5820 6014 7270 8724 9021 10905 12028 14540 15035 18042 21810 22537 30070 36084 43620 45074 45105 60140 67611 70519 90148 90210 112685 135222 141038 180420 211557 225370 270444 282076 338055 352595 423114 450740 676110 705190 846228 1057785 1352220 1410380 2115570 2186089 4231140 4372178 6558267 8744356 10930445 13116534 21860890 26233068 32791335 43721780 65582670 131165340