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130058496 = 2832192971
BaseRepresentation
bin1111100000010…
…00100100000000
3100001201122201100
413300020210000
5231243332441
620523334400
73136323201
oct760104400
9301648640
10130058496
1167461967
1237681400
1320c392b9
14133b75a8
15b640cb6
hex7c08900

130058496 has 108 divisors (see below), whose sum is σ = 394859920. Its totient is φ = 41057280.

The previous prime is 130058471. The next prime is 130058543. The reversal of 130058496 is 694850031.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 130058496.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42291 + ... + 45261.

Almost surely, 2130058496 is an apocalyptic number.

130058496 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 130058496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197429960).

130058496 is an abundant number, since it is smaller than the sum of its proper divisors (264801424).

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

130058496 is a wasteful number, since it uses less digits than its factorization.

130058496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3012 (or 2995 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 130058496 is about 11404.3191817837. The cubic root of 130058496 is about 506.6556722760.

The spelling of 130058496 in words is "one hundred thirty million, fifty-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 456 576 608 684 768 912 1152 1216 1368 1824 2304 2432 2736 2971 3648 4864 5472 5942 7296 8913 10944 11884 14592 17826 21888 23768 26739 35652 43776 47536 53478 56449 71304 95072 106956 112898 142608 169347 190144 213912 225796 285216 338694 380288 427824 451592 508041 570432 677388 760576 855648 903184 1016082 1140864 1354776 1711296 1806368 2032164 2281728 2709552 3422592 3612736 4064328 5419104 6845184 7225472 8128656 10838208 14450944 16257312 21676416 32514624 43352832 65029248 130058496