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131640520 = 235111717599
BaseRepresentation
bin1111101100010…
…10110011001000
3100011201000211211
413312022303020
5232144444040
621021302504
73155632414
oct766126310
9304630754
10131640520
1168342520
1238104a34
13213713cb
14136a9d44
15b8548ea
hex7d8acc8

131640520 has 64 divisors (see below), whose sum is σ = 342144000. Its totient is φ = 45050880.

The previous prime is 131640517. The next prime is 131640521. The reversal of 131640520 is 25046131.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 131640491 and 131640500.

It is not an unprimeable number, because it can be changed into a prime (131640521) 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, 1320 + ... + 16279.

It is an arithmetic number, because the mean of its divisors is an integer number (5346000).

Almost surely, 2131640520 is an apocalyptic number.

131640520 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 131640520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171072000).

131640520 is an abundant number, since it is smaller than the sum of its proper divisors (210503480).

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

131640520 is a wasteful number, since it uses less digits than its factorization.

131640520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17638 (or 17634 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 131640520 is about 11473.4702684062. The cubic root of 131640520 is about 508.7017086774.

Adding to 131640520 its reverse (25046131), we get a palindrome (156686651).

The spelling of 131640520 in words is "one hundred thirty-one million, six hundred forty thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 340 374 440 680 748 935 1496 1870 3740 7480 17599 35198 70396 87995 140792 175990 193589 299183 351980 387178 598366 703960 774356 967945 1196732 1495915 1548712 1935890 2393464 2991830 3291013 3871780 5983660 6582026 7743560 11967320 13164052 16455065 26328104 32910130 65820260 131640520