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130070592 = 2632241937
BaseRepresentation
bin1111100000010…
…11100001000000
3100001202021022100
413300023201000
5231244224332
620523510400
73136403361
oct760134100
9301667270
10130070592
116746aa63
1237688400
1320c41962
14133bbb68
15b64467c
hex7c0b840

130070592 has 84 divisors (see below), whose sum is σ = 374770396. Its totient is φ = 43130880.

The previous prime is 130070581. The next prime is 130070617. The reversal of 130070592 is 295070031.

130070592 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 70 + 592 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 46457856 + 83612736 = 6816^2 + 9144^2 .

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, 138348 + ... + 139284.

Almost surely, 2130070592 is an apocalyptic number.

130070592 is a gapful number since it is divisible by the number (12) 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 130070592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187385198).

130070592 is an abundant number, since it is smaller than the sum of its proper divisors (244699804).

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

130070592 is a wasteful number, since it uses less digits than its factorization.

130070592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 130070592 is about 11404.8494948421. The cubic root of 130070592 is about 506.6713788420.

The spelling of 130070592 in words is "one hundred thirty million, seventy thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 241 288 482 576 723 937 964 1446 1874 1928 2169 2811 2892 3748 3856 4338 5622 5784 7496 7712 8433 8676 11244 11568 14992 15424 16866 17352 22488 23136 29984 33732 34704 44976 46272 59968 67464 69408 89952 134928 138816 179904 225817 269856 451634 539712 677451 903268 1354902 1806536 2032353 2709804 3613072 4064706 5419608 7226144 8129412 10839216 14452288 16258824 21678432 32517648 43356864 65035296 130070592