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130634688 = 2634315823
BaseRepresentation
bin1111100100101…
…01001111000000
3100002210221002210
413302111033000
5231420302223
620543542120
73144243102
oct762251700
9302727083
10130634688
1167815858
12378ba940
13210ab642
14134c7572
15b706893
hex7c953c0

130634688 has 56 divisors (see below), whose sum is σ = 353698048. Its totient is φ = 42529536.

The previous prime is 130634683. The next prime is 130634701. The reversal of 130634688 is 886436031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130634683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 345 + ... + 16167.

Almost surely, 2130634688 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 130634688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176849024).

130634688 is an abundant number, since it is smaller than the sum of its proper divisors (223063360).

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

130634688 is a wasteful number, since it uses less digits than its factorization.

130634688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15881 (or 15871 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 130634688 is about 11429.5532721100. The cubic root of 130634688 is about 507.4027742923.

The spelling of 130634688 in words is "one hundred thirty million, six hundred thirty-four thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 129 172 192 258 344 516 688 1032 1376 2064 2752 4128 8256 15823 31646 47469 63292 94938 126584 189876 253168 379752 506336 680389 759504 1012672 1360778 1519008 2041167 2721556 3038016 4082334 5443112 8164668 10886224 16329336 21772448 32658672 43544896 65317344 130634688