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130555350 = 232522231301
BaseRepresentation
bin1111100100000…
…01110111010110
3100002122220021100
413302001313112
5231410232400
620542130530
73143462562
oct762016726
9302586240
10130555350
1167771192
1237880a46
13210814b3
14134a66a2
15b6dd100
hex7c81dd6

130555350 has 72 divisors (see below), whose sum is σ = 352602432. Its totient is φ = 34632000.

The previous prime is 130555319. The next prime is 130555367. The reversal of 130555350 is 53555031.

130555350 is a `hidden beast` number, since 1 + 305 + 5 + 5 + 350 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 99700 + ... + 101000.

It is an arithmetic number, because the mean of its divisors is an integer number (4897256).

Almost surely, 2130555350 is an apocalyptic number.

130555350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130555350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176301216).

130555350 is an abundant number, since it is smaller than the sum of its proper divisors (222047082).

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

130555350 is a wasteful number, since it uses less digits than its factorization.

130555350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1542 (or 1534 counting only the distinct ones).

The product of its (nonzero) digits is 5625, while the sum is 27.

The square root of 130555350 is about 11426.0820056571. The cubic root of 130555350 is about 507.3000336541.

The spelling of 130555350 in words is "one hundred thirty million, five hundred fifty-five thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 223 225 446 450 669 1115 1301 1338 2007 2230 2602 3345 3903 4014 5575 6505 6690 7806 10035 11150 11709 13010 16725 19515 20070 23418 32525 33450 39030 50175 58545 65050 97575 100350 117090 195150 290123 292725 580246 585450 870369 1450615 1740738 2611107 2901230 4351845 5222214 7253075 8703690 13055535 14506150 21759225 26111070 43518450 65277675 130555350