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130603680 = 2532590697
BaseRepresentation
bin1111100100011…
…01101010100000
3100002202100120100
413302031222200
5231413304210
620543142400
73144053514
oct762155240
9302670510
10130603680
11677a4529
12378a4a00
132109a4ac
14134ba144
15b6ec5c0
hex7c8daa0

130603680 has 72 divisors (see below), whose sum is σ = 445689972. Its totient is φ = 34827264.

The previous prime is 130603667. The next prime is 130603751. The reversal of 130603680 is 86306031.

It can be written as a sum of positive squares in 2 ways, for example, as 125350416 + 5253264 = 11196^2 + 2292^2 .

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

It is an unprimeable number.

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, 43909 + ... + 46788.

Almost surely, 2130603680 is an apocalyptic number.

130603680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130603680 is an abundant number, since it is smaller than the sum of its proper divisors (315086292).

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

130603680 is a wasteful number, since it uses less digits than its factorization.

130603680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90718 (or 90707 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 130603680 is about 11428.1967081425. The cubic root of 130603680 is about 507.3626246953.

The spelling of 130603680 in words is "one hundred thirty million, six hundred three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 90697 181394 272091 362788 453485 544182 725576 816273 906970 1088364 1360455 1451152 1632546 1813940 2176728 2720910 2902304 3265092 3627880 4081365 4353456 5441820 6530184 7255760 8162730 8706912 10883640 13060368 14511520 16325460 21767280 26120736 32650920 43534560 65301840 130603680