Search a number
-
+
13385460 = 223511171193
BaseRepresentation
bin110011000011…
…111011110100
3221012001101210
4303003323310
511411313320
61154521420
7221526444
oct63037364
927161353
1013385460
117612770
124596270
132a087ba
141ac6124
1512960e0
hexcc3ef4

13385460 has 96 divisors (see below), whose sum is σ = 43327872. Its totient is φ = 3051520.

The previous prime is 13385431. The next prime is 13385531. The reversal of 13385460 is 6458331.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10624 + ... + 11816.

It is an arithmetic number, because the mean of its divisors is an integer number (451332).

Almost surely, 213385460 is an apocalyptic number.

13385460 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 13385460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21663936).

13385460 is an abundant number, since it is smaller than the sum of its proper divisors (29942412).

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

13385460 is a wasteful number, since it uses less digits than its factorization.

13385460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 13385460 is about 3658.6144918534. The cubic root of 13385460 is about 237.4348334598.

The spelling of 13385460 in words is "thirteen million, three hundred eighty-five thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 30 33 34 44 51 55 60 66 68 85 102 110 132 165 170 187 204 220 255 330 340 374 510 561 660 748 935 1020 1122 1193 1870 2244 2386 2805 3579 3740 4772 5610 5965 7158 11220 11930 13123 14316 17895 20281 23860 26246 35790 39369 40562 52492 60843 65615 71580 78738 81124 101405 121686 131230 157476 196845 202810 223091 243372 262460 304215 393690 405620 446182 608430 669273 787380 892364 1115455 1216860 1338546 2230910 2677092 3346365 4461820 6692730 13385460