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131695340 = 22572612203
BaseRepresentation
bin1111101100110…
…00001011101100
3100011210211001012
413312120023230
5232203222330
621022404352
73156251300
oct766301354
9304724035
10131695340
116837a727
12381306b8
132139034a
14136c1d00
15b865c95
hex7d982ec

131695340 has 72 divisors (see below), whose sum is σ = 327135312. Its totient is φ = 44392320.

The previous prime is 131695339. The next prime is 131695349. The reversal of 131695340 is 43596131.

It is a junction number, because it is equal to n+sod(n) for n = 131695297 and 131695306.

It is not an unprimeable number, because it can be changed into a prime (131695349) 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, 58679 + ... + 60881.

It is an arithmetic number, because the mean of its divisors is an integer number (4543546).

Almost surely, 2131695340 is an apocalyptic number.

131695340 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 131695340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163567656).

131695340 is an abundant number, since it is smaller than the sum of its proper divisors (195439972).

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

131695340 is a wasteful number, since it uses less digits than its factorization.

131695340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2287 (or 2278 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 32.

The square root of 131695340 is about 11475.8590092420. The cubic root of 131695340 is about 508.7723129703.

The spelling of 131695340 in words is "one hundred thirty-one million, six hundred ninety-five thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 61 70 98 122 140 196 244 245 305 427 490 610 854 980 1220 1708 2135 2203 2989 4270 4406 5978 8540 8812 11015 11956 14945 15421 22030 29890 30842 44060 59780 61684 77105 107947 134383 154210 215894 268766 308420 431788 537532 539735 671915 940681 1079470 1343830 1881362 2158940 2687660 3762724 4703405 6584767 9406810 13169534 18813620 26339068 32923835 65847670 131695340