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130616000 = 265329563
BaseRepresentation
bin1111100100100…
…00101011000000
3100002202222110122
413302100223000
5231414203000
620543315412
73144134444
oct762205300
9302688418
10130616000
1167802809
12378abb68
13210a2c98
14134c0824
15b701085
hex7c90ac0

130616000 has 112 divisors (see below), whose sum is σ = 335219040. Its totient is φ = 50355200.

The previous prime is 130615999. The next prime is 130616023. The reversal of 130616000 is 616031.

It is a self number, because there is not a number n which added to its sum of digits gives 130616000.

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, 231719 + ... + 232281.

Almost surely, 2130616000 is an apocalyptic number.

130616000 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 130616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167609520).

130616000 is an abundant number, since it is smaller than the sum of its proper divisors (204603040).

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

130616000 is an equidigital number, since it uses as much as digits as its factorization.

130616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 130616000 is about 11428.7357131049. The cubic root of 130616000 is about 507.3785775663.

The spelling of 130616000 in words is "one hundred thirty million, six hundred sixteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 64 80 100 116 125 145 160 200 232 250 290 320 400 464 500 563 580 725 800 928 1000 1126 1160 1450 1600 1856 2000 2252 2320 2815 2900 3625 4000 4504 4640 5630 5800 7250 8000 9008 9280 11260 11600 14075 14500 16327 18016 22520 23200 28150 29000 32654 36032 45040 46400 56300 58000 65308 70375 81635 90080 112600 116000 130616 140750 163270 180160 225200 232000 261232 281500 326540 408175 450400 522464 563000 653080 816350 900800 1044928 1126000 1306160 1632700 2040875 2252000 2612320 3265400 4081750 4504000 5224640 6530800 8163500 13061600 16327000 26123200 32654000 65308000 130616000