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130796064 = 2532764879
BaseRepresentation
bin1111100101111…
…00101000100000
3100010010010110200
413302330220200
5231440433224
620551225200
73145514430
oct762745040
9303103420
10130796064
1167916023
1237978200
1321136c29
141352a2c0
15b7395c9
hex7cbca20

130796064 has 72 divisors (see below), whose sum is σ = 425093760. Its totient is φ = 37369728.

The previous prime is 130796063. The next prime is 130796069. The reversal of 130796064 is 460697031.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1307960642 = 34215220715784192, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (130796063) 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 11 ways as a sum of consecutive naturals, for example, 30424 + ... + 34455.

It is an arithmetic number, because the mean of its divisors is an integer number (5904080).

Almost surely, 2130796064 is an apocalyptic number.

130796064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

130796064 is an abundant number, since it is smaller than the sum of its proper divisors (294297696).

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

130796064 is a wasteful number, since it uses less digits than its factorization.

130796064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64902 (or 64891 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 130796064 is about 11436.6106867376. The cubic root of 130796064 is about 507.6116237113.

The spelling of 130796064 in words is "one hundred thirty million, seven hundred ninety-six thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 64879 129758 194637 259516 389274 454153 519032 583911 778548 908306 1038064 1167822 1362459 1557096 1816612 2076128 2335644 2724918 3114192 3633224 4087377 4671288 5449836 6228384 7266448 8174754 9342576 10899672 14532896 16349508 18685152 21799344 32699016 43598688 65398032 130796064