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130913658 = 2343592251
BaseRepresentation
bin1111100110110…
…01010101111010
3100010100002210000
413303121111322
5232003214113
620553533430
73146514321
oct763312572
9303302700
10130913658
1167996407
1237a14276
1321178605
141355b0b8
15b75e373
hex7cd957a

130913658 has 40 divisors (see below), whose sum is σ = 294291360. Its totient is φ = 43497000.

The previous prime is 130913647. The next prime is 130913663. The reversal of 130913658 is 856319031.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 57033 + ... + 59283.

It is an arithmetic number, because the mean of its divisors is an integer number (7357284).

Almost surely, 2130913658 is an apocalyptic number.

130913658 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130913658, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147145680).

130913658 is an abundant number, since it is smaller than the sum of its proper divisors (163377702).

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

130913658 is a wasteful number, since it uses less digits than its factorization.

130913658 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2624 (or 2615 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 130913658 is about 11441.7506527629. The cubic root of 130913658 is about 507.7637032143.

The spelling of 130913658 in words is "one hundred thirty million, nine hundred thirteen thousand, six hundred fifty-eight".

Divisors: 1 2 3 6 9 18 27 54 81 162 359 718 1077 2154 2251 3231 4502 6462 6753 9693 13506 19386 20259 29079 40518 58158 60777 121554 182331 364662 808109 1616218 2424327 4848654 7272981 14545962 21818943 43637886 65456829 130913658