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13085550 = 23652359
BaseRepresentation
bin110001111010…
…101101101110
3220121211000000
4301322231232
511322214200
61144245130
7216140202
oct61725556
926554000
1013085550
117428405
1244707a6
13293213a
141a48b02
151237300
hexc7ab6e

13085550 has 84 divisors (see below), whose sum is σ = 36593640. Its totient is φ = 3479760.

The previous prime is 13085543. The next prime is 13085557. The reversal of 13085550 is 5558031.

13085550 is a `hidden beast` number, since 1 + 30 + 85 + 550 = 666.

It is an interprime number because it is at equal distance from previous prime (13085543) and next prime (13085557).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13085557) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 36271 + ... + 36629.

Almost surely, 213085550 is an apocalyptic number.

13085550 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 13085550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18296820).

13085550 is an abundant number, since it is smaller than the sum of its proper divisors (23508090).

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

13085550 is an equidigital number, since it uses as much as digits as its factorization.

13085550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 13085550 is about 3617.3954718831. The cubic root of 13085550 is about 235.6481278323.

The spelling of 13085550 in words is "thirteen million, eighty-five thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 162 225 243 270 359 405 450 486 675 718 729 810 1077 1215 1350 1458 1795 2025 2154 2430 3231 3590 3645 4050 5385 6075 6462 7290 8975 9693 10770 12150 16155 17950 18225 19386 26925 29079 32310 36450 48465 53850 58158 80775 87237 96930 145395 161550 174474 242325 261711 290790 436185 484650 523422 726975 872370 1308555 1453950 2180925 2617110 4361850 6542775 13085550