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131697580 = 22575317749
BaseRepresentation
bin1111101100110…
…00101110101100
3100011210221010011
413312120232230
5232203310310
621022423004
73156260650
oct766305654
9304727104
10131697580
1168381383
1238131a64
1321391381
14136c2a60
15b86678a
hex7d98bac

131697580 has 48 divisors (see below), whose sum is σ = 322056000. Its totient is φ = 44299008.

The previous prime is 131697547. The next prime is 131697581. The reversal of 131697580 is 85796131.

It is not an unprimeable number, because it can be changed into a prime (131697581) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1455 + ... + 16294.

It is an arithmetic number, because the mean of its divisors is an integer number (6709500).

Almost surely, 2131697580 is an apocalyptic number.

131697580 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 131697580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161028000).

131697580 is an abundant number, since it is smaller than the sum of its proper divisors (190358420).

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

131697580 is a wasteful number, since it uses less digits than its factorization.

131697580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17818 (or 17816 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 40.

The square root of 131697580 is about 11475.9566050068. The cubic root of 131697580 is about 508.7751975156.

The spelling of 131697580 in words is "one hundred thirty-one million, six hundred ninety-seven thousand, five hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 53 70 106 140 212 265 371 530 742 1060 1484 1855 3710 7420 17749 35498 70996 88745 124243 177490 248486 354980 496972 621215 940697 1242430 1881394 2484860 3762788 4703485 6584879 9406970 13169758 18813940 26339516 32924395 65848790 131697580