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13055460 = 223511131151
BaseRepresentation
bin110001110011…
…010111100100
3220120021201120
4301303113210
511320233320
61143453540
7215653365
oct61632744
926507646
1013055460
117407840
1244572b0
132921532
141a3bb6c
15122d440
hexc735e4

13055460 has 96 divisors (see below), whose sum is σ = 40449024. Its totient is φ = 3120000.

The previous prime is 13055459. The next prime is 13055477. The reversal of 13055460 is 6455031.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 13055460.

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 31 ways as a sum of consecutive naturals, for example, 86385 + ... + 86535.

It is an arithmetic number, because the mean of its divisors is an integer number (421344).

Almost surely, 213055460 is an apocalyptic number.

13055460 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 13055460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20224512).

13055460 is an abundant number, since it is smaller than the sum of its proper divisors (27393564).

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

13055460 is a wasteful number, since it uses less digits than its factorization.

13055460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 13055460 is about 3613.2340084750. The cubic root of 13055460 is about 235.4673662526.

The spelling of 13055460 in words is "thirteen million, fifty-five thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 131 132 151 165 220 262 302 330 393 453 524 604 655 660 755 786 906 1310 1441 1510 1572 1661 1812 1965 2265 2620 2882 3020 3322 3930 4323 4530 4983 5764 6644 7205 7860 8305 8646 9060 9966 14410 16610 17292 19781 19932 21615 24915 28820 33220 39562 43230 49830 59343 79124 86460 98905 99660 118686 197810 217591 237372 296715 395620 435182 593430 652773 870364 1087955 1186860 1305546 2175910 2611092 3263865 4351820 6527730 13055460