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130541496 = 23331792221
BaseRepresentation
bin1111100011111…
…10011110111000
3100002122012021020
413301332132320
5231404311441
620541542440
73143404311
oct761763670
9302565236
10130541496
1167761838
1237874a20
13210780b7
14134a1608
15b6d8e66
hex7c7e7b8

130541496 has 64 divisors (see below), whose sum is σ = 341299200. Its totient is φ = 41558400.

The previous prime is 130541483. The next prime is 130541497. The reversal of 130541496 is 694145031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130541497) 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, 57666 + ... + 59886.

It is an arithmetic number, because the mean of its divisors is an integer number (5332800).

Almost surely, 2130541496 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 130541496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170649600).

130541496 is an abundant number, since it is smaller than the sum of its proper divisors (210757704).

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

130541496 is a wasteful number, since it uses less digits than its factorization.

130541496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2340 (or 2336 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 130541496 is about 11425.4757450182. The cubic root of 130541496 is about 507.2820888175.

The spelling of 130541496 in words is "one hundred thirty million, five hundred forty-one thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 24 31 62 79 93 124 158 186 237 248 316 372 474 632 744 948 1896 2221 2449 4442 4898 6663 7347 8884 9796 13326 14694 17768 19592 26652 29388 53304 58776 68851 137702 175459 206553 275404 350918 413106 526377 550808 701836 826212 1052754 1403672 1652424 2105508 4211016 5439229 10878458 16317687 21756916 32635374 43513832 65270748 130541496