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130663680 = 283574861
BaseRepresentation
bin1111100100111…
…00010100000000
3100002212101212120
413302130110000
5231422214210
620544324240
73144423450
oct762342400
9302771776
10130663680
1167835614
1237913680
13210bb8b4
14134d3d60
15b710270
hex7c9c500

130663680 has 144 divisors (see below), whose sum is σ = 477020544. Its totient is φ = 29859840.

The previous prime is 130663669. The next prime is 130663699. The reversal of 130663680 is 86366031.

130663680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1306636802 = 34145994542284800, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 24450 + ... + 29310.

Almost surely, 2130663680 is an apocalyptic number.

130663680 is a gapful number since it is divisible by the number (10) 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 130663680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238510272).

130663680 is an abundant number, since it is smaller than the sum of its proper divisors (346356864).

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

130663680 is an equidigital number, since it uses as much as digits as its factorization.

130663680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4892 (or 4878 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 130663680 is about 11430.8214927887. The cubic root of 130663680 is about 507.4403077972.

The spelling of 130663680 in words is "one hundred thirty million, six hundred sixty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 560 640 672 768 840 896 960 1120 1280 1344 1680 1792 1920 2240 2688 3360 3840 4480 4861 5376 6720 8960 9722 13440 14583 19444 24305 26880 29166 34027 38888 48610 58332 68054 72915 77776 97220 102081 116664 136108 145830 155552 170135 194440 204162 233328 272216 291660 311104 340270 388880 408324 466656 510405 544432 583320 622208 680540 777760 816648 933312 1020810 1088864 1166640 1244416 1361080 1555520 1633296 1866624 2041620 2177728 2333280 2722160 3111040 3266592 3733248 4083240 4355456 4666560 5444320 6222080 6533184 8166480 8710912 9333120 10888640 13066368 16332960 18666240 21777280 26132736 32665920 43554560 65331840 130663680