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130486496 = 2571972957
BaseRepresentation
bin1111100011100…
…01000011100000
3100002112101211012
413301301003200
5231401031441
620540440052
73143055050
oct761610340
9302471735
10130486496
1167724488
1237849028
132105905a
1413489560
15b6c79eb
hex7c710e0

130486496 has 48 divisors (see below), whose sum is σ = 295184736. Its totient is φ = 55620096.

The previous prime is 130486493. The next prime is 130486501. The reversal of 130486496 is 694684031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130486493) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42650 + ... + 45606.

It is an arithmetic number, because the mean of its divisors is an integer number (6149682).

Almost surely, 2130486496 is an apocalyptic number.

130486496 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 130486496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147592368).

130486496 is an abundant number, since it is smaller than the sum of its proper divisors (164698240).

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

130486496 is a wasteful number, since it uses less digits than its factorization.

130486496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3171 (or 3163 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 41.

The square root of 130486496 is about 11423.0685894815. The cubic root of 130486496 is about 507.2108357804.

The spelling of 130486496 in words is "one hundred thirty million, four hundred eighty-six thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 197 224 394 788 1379 1576 2758 2957 3152 5516 5914 6304 11032 11828 20699 22064 23656 41398 44128 47312 82796 94624 165592 331184 582529 662368 1165058 2330116 4077703 4660232 8155406 9320464 16310812 18640928 32621624 65243248 130486496