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130012064 = 2571344647
BaseRepresentation
bin1111011111111…
…01001110100000
3100001122022000122
413233331032200
5231240341224
620522335412
73136040630
oct757751640
9301568018
10130012064
116742aa96
123765a568
1320c21120
14133a46c0
15b63215e
hex7bfd3a0

130012064 has 48 divisors (see below), whose sum is σ = 315036288. Its totient is φ = 51432192.

The previous prime is 130012063. The next prime is 130012067. The reversal of 130012064 is 460210031.

It is not an unprimeable number, because it can be changed into a prime (130012061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19412 + ... + 25235.

It is an arithmetic number, because the mean of its divisors is an integer number (6563256).

Almost surely, 2130012064 is an apocalyptic number.

130012064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

130012064 is an abundant number, since it is smaller than the sum of its proper divisors (185024224).

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

130012064 is a wasteful number, since it uses less digits than its factorization.

130012064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44677 (or 44669 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 130012064 is about 11402.2832801154. The cubic root of 130012064 is about 506.5953716242.

Adding to 130012064 its reverse (460210031), we get a palindrome (590222095).

The spelling of 130012064 in words is "one hundred thirty million, twelve thousand, sixty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1456 2912 44647 89294 178588 312529 357176 580411 625058 714352 1160822 1250116 1428704 2321644 2500232 4062877 4643288 5000464 8125754 9286576 10000928 16251508 18573152 32503016 65006032 130012064