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130424576 = 28796449
BaseRepresentation
bin1111100011000…
…01111100000000
3100002102020212212
413301201330000
5231342041301
620535241252
73142406402
oct761417400
9302366785
10130424576
1167691a07
1237819228
1321036b09
1413470b72
15b6b44bb
hex7c61f00

130424576 has 36 divisors (see below), whose sum is σ = 263676000. Its totient is φ = 64376832.

The previous prime is 130424563. The next prime is 130424579. The reversal of 130424576 is 675424031.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130424579) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17000 + ... + 23448.

Almost surely, 2130424576 is an apocalyptic number.

130424576 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 130424576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131838000).

130424576 is an abundant number, since it is smaller than the sum of its proper divisors (133251424).

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

130424576 is an frugal number, since it uses more digits than its factorization.

130424576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6544 (or 6530 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 130424576 is about 11420.3579628661. The cubic root of 130424576 is about 507.1305938524.

The spelling of 130424576 in words is "one hundred thirty million, four hundred twenty-four thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 79 128 158 256 316 632 1264 2528 5056 6449 10112 12898 20224 25796 51592 103184 206368 412736 509471 825472 1018942 1650944 2037884 4075768 8151536 16303072 32606144 65212288 130424576