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130412656 = 24111959661
BaseRepresentation
bin1111100010111…
…11000001110000
3100002101122112101
413301133001300
5231341201111
620535110144
73142326553
oct761370160
9302348471
10130412656
1167683a60
1237812354
132103156a
141346a69a
15b6b0bc1
hex7c5f070

130412656 has 80 divisors (see below), whose sum is σ = 295516800. Its totient is φ = 55123200.

The previous prime is 130412651. The next prime is 130412683. The reversal of 130412656 is 656214031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130412651) 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, 196966 + ... + 197626.

It is an arithmetic number, because the mean of its divisors is an integer number (3693960).

Almost surely, 2130412656 is an apocalyptic number.

130412656 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 130412656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147758400).

130412656 is an abundant number, since it is smaller than the sum of its proper divisors (165104144).

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

130412656 is a wasteful number, since it uses less digits than its factorization.

130412656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 130412656 is about 11419.8360758813. The cubic root of 130412656 is about 507.1151438479.

Adding to 130412656 its reverse (656214031), we get a palindrome (786626687).

The spelling of 130412656 in words is "one hundred thirty million, four hundred twelve thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 16 19 22 38 44 59 76 88 118 152 176 209 236 304 418 472 649 661 836 944 1121 1298 1322 1672 2242 2596 2644 3344 4484 5192 5288 7271 8968 10384 10576 12331 12559 14542 17936 24662 25118 29084 38999 49324 50236 58168 77998 98648 100472 116336 138149 155996 197296 200944 276298 311992 428989 552596 623984 740981 857978 1105192 1481962 1715956 2210384 2963924 3431912 5927848 6863824 8150791 11855696 16301582 32603164 65206328 130412656