Search a number
-
+
130059904 = 2713471663
BaseRepresentation
bin1111100000010…
…00111010000000
3100001201201122111
413300020322000
5231243404104
620523345104
73136330252
oct760107200
9301651574
10130059904
1167462a27
1237682194
1320c39b30
14133b7cd2
15b641404
hex7c08e80

130059904 has 64 divisors (see below), whose sum is σ = 285143040. Its totient is φ = 58715136.

The previous prime is 130059887. The next prime is 130059929. The reversal of 130059904 is 409950031.

It is a tau number, because it is divible by the number of its divisors (64).

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, 77377 + ... + 79039.

It is an arithmetic number, because the mean of its divisors is an integer number (4455360).

Almost surely, 2130059904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130059904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142571520).

130059904 is an abundant number, since it is smaller than the sum of its proper divisors (155083136).

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

130059904 is a wasteful number, since it uses less digits than its factorization.

130059904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1737 (or 1725 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 31.

The square root of 130059904 is about 11404.3809126142. The cubic root of 130059904 is about 506.6575006036.

The spelling of 130059904 in words is "one hundred thirty million, fifty-nine thousand, nine hundred four".

Divisors: 1 2 4 8 13 16 26 32 47 52 64 94 104 128 188 208 376 416 611 752 832 1222 1504 1663 1664 2444 3008 3326 4888 6016 6652 9776 13304 19552 21619 26608 39104 43238 53216 78161 78208 86476 106432 156322 172952 212864 312644 345904 625288 691808 1016093 1250576 1383616 2032186 2501152 2767232 4064372 5002304 8128744 10004608 16257488 32514976 65029952 130059904