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131104320 = 2635373691
BaseRepresentation
bin1111101000001…
…11111001000000
3100010200210022120
413310013321000
5232030314240
621002004240
73151240224
oct764077100
9303623276
10131104320
1168006686
1237aa6680
1321214329
14135aa784
15b79aad0
hex7d07e40

131104320 has 112 divisors (see below), whose sum is σ = 427622208. Its totient is φ = 34007040.

The previous prime is 131104307. The next prime is 131104339. The reversal of 131104320 is 23401131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 131104320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33675 + ... + 37365.

Almost surely, 2131104320 is an apocalyptic number.

131104320 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 131104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213811104).

131104320 is an abundant number, since it is smaller than the sum of its proper divisors (296517888).

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

131104320 is a wasteful number, since it uses less digits than its factorization.

131104320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3748 (or 3738 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 131104320 is about 11450.0794757067. The cubic root of 131104320 is about 508.0100851533.

Adding to 131104320 its reverse (23401131), we get a palindrome (154505451).

The spelling of 131104320 in words is "one hundred thirty-one million, one hundred four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 64 74 80 96 111 120 148 160 185 192 222 240 296 320 370 444 480 555 592 740 888 960 1110 1184 1480 1776 2220 2368 2960 3552 3691 4440 5920 7104 7382 8880 11073 11840 14764 17760 18455 22146 29528 35520 36910 44292 55365 59056 73820 88584 110730 118112 136567 147640 177168 221460 236224 273134 295280 354336 409701 442920 546268 590560 682835 708672 819402 885840 1092536 1181120 1365670 1638804 1771680 2048505 2185072 2731340 3277608 3543360 4097010 4370144 5462680 6555216 8194020 8740288 10925360 13110432 16388040 21850720 26220864 32776080 43701440 65552160 131104320