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130416560 = 2458631889
BaseRepresentation
bin1111100010111…
…11111110110000
3100002101211212222
413301133332300
5231341312220
620535140212
73142344131
oct761377660
9302354788
10130416560
116768698a
1237814668
1321033281
141346bc88
15b6b1e25
hex7c5ffb0

130416560 has 40 divisors (see below), whose sum is σ = 303730560. Its totient is φ = 52078592.

The previous prime is 130416557. The next prime is 130416581. The reversal of 130416560 is 65614031.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68096 + ... + 69984.

It is an arithmetic number, because the mean of its divisors is an integer number (7593264).

Almost surely, 2130416560 is an apocalyptic number.

130416560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130416560 is an abundant number, since it is smaller than the sum of its proper divisors (173314000).

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

130416560 is a wasteful number, since it uses less digits than its factorization.

130416560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2765 (or 2759 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 130416560 is about 11420.0070052518. The cubic root of 130416560 is about 507.1202040873.

The spelling of 130416560 in words is "one hundred thirty million, four hundred sixteen thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 863 1726 1889 3452 3778 4315 6904 7556 8630 9445 13808 15112 17260 18890 30224 34520 37780 69040 75560 151120 1630207 3260414 6520828 8151035 13041656 16302070 26083312 32604140 65208280 130416560