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130615744 = 267535501
BaseRepresentation
bin1111100100100…
…00100111000000
3100002202222010011
413302100213000
5231414200434
620543314304
73144133630
oct762204700
9302688104
10130615744
11678025a6
12378ab994
13210a2b2c
14134c06c0
15b700e64
hex7c909c0

130615744 has 56 divisors (see below), whose sum is σ = 301861728. Its totient is φ = 54912000.

The previous prime is 130615721. The next prime is 130615753. The reversal of 130615744 is 447516031.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

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, 20994 + ... + 26494.

It is an arithmetic number, because the mean of its divisors is an integer number (5390388).

Almost surely, 2130615744 is an apocalyptic number.

130615744 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 130615744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150930864).

130615744 is an abundant number, since it is smaller than the sum of its proper divisors (171245984).

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

130615744 is an equidigital number, since it uses as much as digits as its factorization.

130615744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5573 (or 5563 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 130615744 is about 11428.7245132604. The cubic root of 130615744 is about 507.3782460883.

The spelling of 130615744 in words is "one hundred thirty million, six hundred fifteen thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 106 112 212 224 371 424 448 742 848 1484 1696 2968 3392 5501 5936 11002 11872 22004 23744 38507 44008 77014 88016 154028 176032 291553 308056 352064 583106 616112 1166212 1232224 2040871 2332424 2464448 4081742 4664848 8163484 9329696 16326968 18659392 32653936 65307872 130615744