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130544512 = 277532749
BaseRepresentation
bin1111100011111…
…11001110000000
3100002122100101221
413301333032000
5231404411022
620542004424
73143416150
oct761771600
9302570357
10130544512
116776402a
1237876714
1321079597
14134a2760
15b6d9cc7
hex7c7f380

130544512 has 64 divisors (see below), whose sum is σ = 302940000. Its totient is φ = 54872064.

The previous prime is 130544509. The next prime is 130544537. The reversal of 130544512 is 215445031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1305445122 = 34083739226636288, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46114 + ... + 48862.

Almost surely, 2130544512 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 130544512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151470000).

130544512 is an abundant number, since it is smaller than the sum of its proper divisors (172395488).

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

130544512 is an equidigital number, since it uses as much as digits as its factorization.

130544512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2823 (or 2811 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 130544512 is about 11425.6077300072. The cubic root of 130544512 is about 507.2859954961.

Adding to 130544512 its reverse (215445031), we get a palindrome (345989543).

The spelling of 130544512 in words is "one hundred thirty million, five hundred forty-four thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 106 112 128 212 224 371 424 448 742 848 896 1484 1696 2749 2968 3392 5498 5936 6784 10996 11872 19243 21992 23744 38486 43984 47488 76972 87968 145697 153944 175936 291394 307888 351872 582788 615776 1019879 1165576 1231552 2039758 2331152 2463104 4079516 4662304 8159032 9324608 16318064 18649216 32636128 65272256 130544512