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131345740 = 22517715441
BaseRepresentation
bin1111101010000…
…10110101001100
3100011011001111001
413311002311030
5232111030430
621011110044
73153264121
oct765026514
9304131431
10131345740
1168160aa9
1237ba2324
132129a196
1413630748
15b7e73ca
hex7d42d4c

131345740 has 48 divisors (see below), whose sum is σ = 296218944. Its totient is φ = 48742400.

The previous prime is 131345719. The next prime is 131345743. The reversal of 131345740 is 47543131.

131345740 = T376 + T377 + ... + T943.

It is a super-2 number, since 2×1313457402 = 34503406832295200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131345699 and 131345708.

It is not an unprimeable number, because it can be changed into a prime (131345743) 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, 21420 + ... + 26860.

It is an arithmetic number, because the mean of its divisors is an integer number (6171228).

Almost surely, 2131345740 is an apocalyptic number.

131345740 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 131345740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148109472).

131345740 is an abundant number, since it is smaller than the sum of its proper divisors (164873204).

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

131345740 is a wasteful number, since it uses less digits than its factorization.

131345740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5538 (or 5536 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 131345740 is about 11460.6169118420. The cubic root of 131345740 is about 508.3217163579.

Adding to 131345740 its reverse (47543131), we get a palindrome (178888871).

The spelling of 131345740 in words is "one hundred thirty-one million, three hundred forty-five thousand, seven hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 71 85 142 170 284 340 355 710 1207 1420 2414 4828 5441 6035 10882 12070 21764 24140 27205 54410 92497 108820 184994 369988 386311 462485 772622 924970 1545244 1849940 1931555 3863110 6567287 7726220 13134574 26269148 32836435 65672870 131345740