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131106240 = 2632545523
BaseRepresentation
bin1111101000010…
…00010111000000
3100010200212221200
413310020113000
5232030344430
621002021200
73151245636
oct764102700
9303625850
10131106240
1168008071
1237aa7800
1321215175
14135ab356
15b79b460
hex7d085c0

131106240 has 84 divisors (see below), whose sum is σ = 450960744. Its totient is φ = 34960896.

The previous prime is 131106229. The next prime is 131106247. The reversal of 131106240 is 42601131.

It is a happy number.

131106240 is a `hidden beast` number, since 1 + 31 + 10 + 624 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131106247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19882 + ... + 25641.

Almost surely, 2131106240 is an apocalyptic number.

131106240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131106240 is an abundant number, since it is smaller than the sum of its proper divisors (319854504).

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

131106240 is a wasteful number, since it uses less digits than its factorization.

131106240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45546 (or 45533 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 131106240 is about 11450.1633176125. The cubic root of 131106240 is about 508.0125650477.

Adding to 131106240 its reverse (42601131), we get a palindrome (173707371).

The spelling of 131106240 in words is "one hundred thirty-one million, one hundred six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 45523 91046 136569 182092 227615 273138 364184 409707 455230 546276 682845 728368 819414 910460 1092552 1365690 1456736 1638828 1820920 2048535 2185104 2731380 2913472 3277656 3641840 4097070 4370208 5462760 6555312 7283680 8194140 8740416 10925520 13110624 14567360 16388280 21851040 26221248 32776560 43702080 65553120 131106240