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131322440 = 23529113209
BaseRepresentation
bin1111101001111…
…01001001001000
3100011002212112002
413310331021020
5232104304230
621010410132
73153136154
oct764751110
9304085462
10131322440
1168145547
1237b90948
132128c6b2
1413626064
15b7e0545
hex7d3d248

131322440 has 32 divisors (see below), whose sum is σ = 305667000. Its totient is φ = 50717184.

The previous prime is 131322431. The next prime is 131322449. The reversal of 131322440 is 44223131.

It is an interprime number because it is at equal distance from previous prime (131322431) and next prime (131322449).

It can be written as a sum of positive squares in 4 ways, for example, as 121044004 + 10278436 = 11002^2 + 3206^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (131322449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55445 + ... + 57764.

Almost surely, 2131322440 is an apocalyptic number.

131322440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131322440 is an abundant number, since it is smaller than the sum of its proper divisors (174344560).

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

131322440 is a wasteful number, since it uses less digits than its factorization.

131322440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113249 (or 113245 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 131322440 is about 11459.6003420713. The cubic root of 131322440 is about 508.2916567701.

Adding to 131322440 its reverse (44223131), we get a palindrome (175545571).

The spelling of 131322440 in words is "one hundred thirty-one million, three hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 113209 226418 452836 566045 905672 1132090 2264180 3283061 4528360 6566122 13132244 16415305 26264488 32830610 65661220 131322440