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130678144 = 273132933
BaseRepresentation
bin1111100100111…
…11110110000000
3100002220010201021
413302133312000
5231423200034
620544515224
73144513562
oct762376600
9302803637
10130678144
1167845473
123791bb14
13210c535c
14134d9332
15b7146b4
hex7c9fd80

130678144 has 32 divisors (see below), whose sum is σ = 268741440. Its totient is φ = 63229440.

The previous prime is 130678123. The next prime is 130678211. The reversal of 130678144 is 441876031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12499 + ... + 20434.

It is an arithmetic number, because the mean of its divisors is an integer number (8398170).

Almost surely, 2130678144 is an apocalyptic number.

It is an amenable number.

130678144 is an abundant number, since it is smaller than the sum of its proper divisors (138063296).

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

130678144 is an equidigital number, since it uses as much as digits as its factorization.

130678144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32978 (or 32966 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 130678144 is about 11431.4541507194. The cubic root of 130678144 is about 507.4590310461.

The spelling of 130678144 in words is "one hundred thirty million, six hundred seventy-eight thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 496 992 1984 3968 32933 65866 131732 263464 526928 1020923 1053856 2041846 2107712 4083692 4215424 8167384 16334768 32669536 65339072 130678144