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131326440 = 23357791979
BaseRepresentation
bin1111101001111…
…10000111101000
3100011010002000020
413310332013220
5232104421230
621010440440
73153153630
oct764760750
9304102006
10131326440
1168148553
1237b93120
132129146b
14136276c0
15b7e1810
hex7d3e1e8

131326440 has 128 divisors (see below), whose sum is σ = 456192000. Its totient is φ = 29622528.

The previous prime is 131326439. The next prime is 131326451. The reversal of 131326440 is 44623131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 131326440.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65371 + ... + 67349.

It is an arithmetic number, because the mean of its divisors is an integer number (3564000).

Almost surely, 2131326440 is an apocalyptic number.

131326440 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 131326440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228096000).

131326440 is an abundant number, since it is smaller than the sum of its proper divisors (324865560).

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

131326440 is a wasteful number, since it uses less digits than its factorization.

131326440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2079 (or 2075 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 131326440 is about 11459.7748668986. The cubic root of 131326440 is about 508.2968174671.

Adding to 131326440 its reverse (44623131), we get a palindrome (175949571).

The spelling of 131326440 in words is "one hundred thirty-one million, three hundred twenty-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 79 84 105 120 140 158 168 210 237 280 316 395 420 474 553 632 790 840 948 1106 1185 1580 1659 1896 1979 2212 2370 2765 3160 3318 3958 4424 4740 5530 5937 6636 7916 8295 9480 9895 11060 11874 13272 13853 15832 16590 19790 22120 23748 27706 29685 33180 39580 41559 47496 55412 59370 66360 69265 79160 83118 110824 118740 138530 156341 166236 207795 237480 277060 312682 332472 415590 469023 554120 625364 781705 831180 938046 1094387 1250728 1563410 1662360 1876092 2188774 2345115 3126820 3283161 3752184 4377548 4690230 5471935 6253640 6566322 8755096 9380460 10943870 13132644 16415805 18760920 21887740 26265288 32831610 43775480 65663220 131326440