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131613380 = 22519218229
BaseRepresentation
bin1111101100001…
…00001011000100
3100011122122121122
413312010023010
5232143112010
621020533112
73155460323
oct766041304
9304578548
10131613380
1168324098
12380b1198
1321361c52
14136a00ba
15b84b855
hex7d842c4

131613380 has 36 divisors (see below), whose sum is σ = 291716460. Its totient is φ = 49871808.

The previous prime is 131613359. The next prime is 131613389. The reversal of 131613380 is 83316131.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 103713856 + 27899524 = 10184^2 + 5282^2 .

It is not an unprimeable number, because it can be changed into a prime (131613389) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1895 + ... + 16334.

It is an arithmetic number, because the mean of its divisors is an integer number (8103235).

Almost surely, 2131613380 is an apocalyptic number.

131613380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131613380 is an abundant number, since it is smaller than the sum of its proper divisors (160103080).

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

131613380 is a wasteful number, since it uses less digits than its factorization.

131613380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18276 (or 18255 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 131613380 is about 11472.2874789643. The cubic root of 131613380 is about 508.6667470175. Note that the first 3 decimals are identical.

The spelling of 131613380 in words is "one hundred thirty-one million, six hundred thirteen thousand, three hundred eighty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 361 380 722 1444 1805 3610 7220 18229 36458 72916 91145 182290 346351 364580 692702 1385404 1731755 3463510 6580669 6927020 13161338 26322676 32903345 65806690 131613380