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131520440 = 23523592423
BaseRepresentation
bin1111101011011…
…01011110111000
3100011110221010102
413311231132320
5232132123230
621014534532
73154622342
oct765553670
9304427112
10131520440
1168270287
1238067448
132132b85c
1413678292
15b82e045
hex7d6d7b8

131520440 has 64 divisors (see below), whose sum is σ = 314150400. Its totient is φ = 49447552.

The previous prime is 131520439. The next prime is 131520461. The reversal of 131520440 is 44025131.

It is a super-2 number, since 2×1315204402 = 34595252275587200, which contains 22 as substring.

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, 53069 + ... + 55491.

It is an arithmetic number, because the mean of its divisors is an integer number (4908600).

Almost surely, 2131520440 is an apocalyptic number.

131520440 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 131520440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157075200).

131520440 is an abundant number, since it is smaller than the sum of its proper divisors (182629960).

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

131520440 is a wasteful number, since it uses less digits than its factorization.

131520440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2516 (or 2512 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 131520440 is about 11468.2361329020. The cubic root of 131520440 is about 508.5469855874.

Adding to 131520440 its reverse (44025131), we get a palindrome (175545571).

The spelling of 131520440 in words is "one hundred thirty-one million, five hundred twenty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 59 92 115 118 184 230 236 295 460 472 590 920 1180 1357 2360 2423 2714 4846 5428 6785 9692 10856 12115 13570 19384 24230 27140 48460 54280 55729 96920 111458 142957 222916 278645 285914 445832 557290 571828 714785 1114580 1143656 1429570 2229160 2859140 3288011 5718280 6576022 13152044 16440055 26304088 32880110 65760220 131520440