Search a number
-
+
130168512 = 263375329
BaseRepresentation
bin1111100001000…
…11011011000000
3100001221020122000
413300203123000
5231310343022
620525544000
73140262015
oct760433300
9301836560
10130168512
1167527591
1237715000
1320c773b6
141340570c
15b6636ac
hex7c236c0

130168512 has 56 divisors (see below), whose sum is σ = 382676400. Its totient is φ = 43388928.

The previous prime is 130168499. The next prime is 130168513. The reversal of 130168512 is 215861031.

130168512 is a `hidden beast` number, since 130 + 16 + 8 + 512 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (130168513) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35937 + ... + 39392.

Almost surely, 2130168512 is an apocalyptic number.

130168512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130168512 is an abundant number, since it is smaller than the sum of its proper divisors (252507888).

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

130168512 is an equidigital number, since it uses as much as digits as its factorization.

130168512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75350 (or 75334 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 130168512 is about 11409.1415978591. The cubic root of 130168512 is about 506.7984913990.

It can be divided in two parts, 13016 and 8512, that added together give a triangular number (21528 = T207).

The spelling of 130168512 in words is "one hundred thirty million, one hundred sixty-eight thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 75329 150658 225987 301316 451974 602632 677961 903948 1205264 1355922 1807896 2033883 2410528 2711844 3615792 4067766 4821056 5423688 7231584 8135532 10847376 14463168 16271064 21694752 32542128 43389504 65084256 130168512