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131390040 = 23351736329
BaseRepresentation
bin1111101010011…
…01101001011000
3100011020022020210
413311031221120
5232113440130
621012051120
73153540225
oct765155130
9304208223
10131390040
1168191311
1238003aa0
13212b43b2
141364294c
15b8055b0
hex7d4da58

131390040 has 64 divisors (see below), whose sum is σ = 396511200. Its totient is φ = 34829312.

The previous prime is 131390033. The next prime is 131390041. The reversal of 131390040 is 40093131.

It is a super-2 number, since 2×1313900402 = 34526685222403200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131389989 and 131390016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131390041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17596 + ... + 23924.

Almost surely, 2131390040 is an apocalyptic number.

131390040 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 131390040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198255600).

131390040 is an abundant number, since it is smaller than the sum of its proper divisors (265121160).

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

131390040 is a wasteful number, since it uses less digits than its factorization.

131390040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6516 (or 6512 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 131390040 is about 11462.5494546370. The cubic root of 131390040 is about 508.3788584746.

The spelling of 131390040 in words is "one hundred thirty-one million, three hundred ninety thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 173 346 519 692 865 1038 1384 1730 2076 2595 3460 4152 5190 6329 6920 10380 12658 18987 20760 25316 31645 37974 50632 63290 75948 94935 126580 151896 189870 253160 379740 759480 1094917 2189834 3284751 4379668 5474585 6569502 8759336 10949170 13139004 16423755 21898340 26278008 32847510 43796680 65695020 131390040