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131640500 = 22532311447
BaseRepresentation
bin1111101100010…
…10110010110100
3100011201000211002
413312022302310
5232144444000
621021302432
73155632355
oct766126264
9304630732
10131640500
1168342502
1238104a18
13213713b4
14136a9d2c
15b8548d5
hex7d8acb4

131640500 has 48 divisors (see below), whose sum is σ = 300029184. Its totient is φ = 50362400.

The previous prime is 131640497. The next prime is 131640511. The reversal of 131640500 is 5046131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5777 + ... + 17223.

It is an arithmetic number, because the mean of its divisors is an integer number (6250608).

Almost surely, 2131640500 is an apocalyptic number.

131640500 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 131640500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150014592).

131640500 is an abundant number, since it is smaller than the sum of its proper divisors (168388684).

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

131640500 is a wasteful number, since it uses less digits than its factorization.

131640500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11489 (or 11477 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 131640500 is about 11473.4693968302. The cubic root of 131640500 is about 508.7016829153.

Adding to 131640500 its reverse (5046131), we get a palindrome (136686631).

The spelling of 131640500 in words is "one hundred thirty-one million, six hundred forty thousand, five hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 125 230 250 460 500 575 1150 2300 2875 5750 11447 11500 22894 45788 57235 114470 228940 263281 286175 526562 572350 1053124 1144700 1316405 1430875 2632810 2861750 5265620 5723500 6582025 13164050 26328100 32910125 65820250 131640500