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130713544 = 23131724349
BaseRepresentation
bin1111100101010…
…00011111001000
3100002221221021101
413302220133020
5231430313134
620545351144
73145022023
oct762503710
9302857241
10130713544
116786a025
12379384b4
13211084c0
14135081ba
15b71ee14
hex7ca87c8

130713544 has 48 divisors (see below), whose sum is σ = 280444500. Its totient is φ = 56767488.

The previous prime is 130713523. The next prime is 130713547. The reversal of 130713544 is 445317031.

130713544 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 37822500 + 92891044 = 6150^2 + 9638^2 .

It is not an unprimeable number, because it can be changed into a prime (130713547) 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, 27882 + ... + 32230.

Almost surely, 2130713544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130713544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140222250).

130713544 is an abundant number, since it is smaller than the sum of its proper divisors (149730956).

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

130713544 is a wasteful number, since it uses less digits than its factorization.

130713544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4402 (or 4381 counting only the distinct ones).

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

The square root of 130713544 is about 11433.0024053177. The cubic root of 130713544 is about 507.5048495415.

The spelling of 130713544 in words is "one hundred thirty million, seven hundred thirteen thousand, five hundred forty-four".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 221 289 442 578 884 1156 1768 2312 3757 4349 7514 8698 15028 17396 30056 34792 56537 73933 113074 147866 226148 295732 452296 591464 961129 1256861 1922258 2513722 3844516 5027444 7689032 10054888 16339193 32678386 65356772 130713544