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130886496 = 25331343271
BaseRepresentation
bin1111100110100…
…10101101100000
3100010021201112000
413303102231200
5232001331441
620553204000
73146342166
oct763225540
9303251460
10130886496
1167977a64
1237a00600
1321169140
1413551236
15b7562b6
hex7cd2b60

130886496 has 192 divisors, whose sum is σ = 422231040. Its totient is φ = 39191040.

The previous prime is 130886461. The next prime is 130886531. The reversal of 130886496 is 694688031.

It is an interprime number because it is at equal distance from previous prime (130886461) and next prime (130886531).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 482841 + ... + 483111.

It is an arithmetic number, because the mean of its divisors is an integer number (2199120).

Almost surely, 2130886496 is an apocalyptic number.

130886496 is a gapful number since it is divisible by the number (16) 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 130886496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211115520).

130886496 is an abundant number, since it is smaller than the sum of its proper divisors (291344544).

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

130886496 is a wasteful number, since it uses less digits than its factorization.

130886496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 130886496 is about 11440.5636224794. The cubic root of 130886496 is about 507.7285838033.

The spelling of 130886496 in words is "one hundred thirty million, eight hundred eighty-six thousand, four hundred ninety-six".