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130437664 = 2575310987
BaseRepresentation
bin1111100011001…
…01001000100000
3100002102220211121
413301211020200
5231343001124
620535422024
73142462510
oct761451040
9302386747
10130437664
11676a0825
1237824914
132103ca66
1413475840
15b6b82e4
hex7c65220

130437664 has 48 divisors (see below), whose sum is σ = 299049408. Its totient is φ = 54842112.

The previous prime is 130437661. The next prime is 130437673. The reversal of 130437664 is 466734031.

130437664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (130437661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6379 + ... + 17365.

It is an arithmetic number, because the mean of its divisors is an integer number (6230196).

Almost surely, 2130437664 is an apocalyptic number.

130437664 is a gapful number since it is divisible by the number (14) 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 130437664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149524704).

130437664 is an abundant number, since it is smaller than the sum of its proper divisors (168611744).

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

130437664 is a wasteful number, since it uses less digits than its factorization.

130437664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11057 (or 11049 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 34.

The square root of 130437664 is about 11420.9309603027. The cubic root of 130437664 is about 507.1475566657.

The spelling of 130437664 in words is "one hundred thirty million, four hundred thirty-seven thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 106 112 212 224 371 424 742 848 1484 1696 2968 5936 10987 11872 21974 43948 76909 87896 153818 175792 307636 351584 582311 615272 1164622 1230544 2329244 2461088 4076177 4658488 8152354 9316976 16304708 18633952 32609416 65218832 130437664