Search a number
-
+
13349556 = 22331117661
BaseRepresentation
bin110010111011…
…001010110100
3221010020011000
4302323022310
511404141211
61154043300
7221316663
oct62731264
927106130
1013349556
1175987a0
124579530
1329c535c
141ab6dda
15128a656
hexcbb2b4

13349556 has 96 divisors (see below), whose sum is σ = 40037760. Its totient is φ = 3801600.

The previous prime is 13349527. The next prime is 13349569. The reversal of 13349556 is 65594331.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13349556.

It is a congruent number.

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, 19866 + ... + 20526.

It is an arithmetic number, because the mean of its divisors is an integer number (417060).

Almost surely, 213349556 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13349556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20018880).

13349556 is an abundant number, since it is smaller than the sum of its proper divisors (26688204).

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

13349556 is a wasteful number, since it uses less digits than its factorization.

13349556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 694 counting only the distinct ones).

The product of its digits is 48600, while the sum is 36.

The square root of 13349556 is about 3653.7044215426. The cubic root of 13349556 is about 237.2223518129. Note that the first 3 decimals are identical.

The spelling of 13349556 in words is "thirteen million, three hundred forty-nine thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 27 33 34 36 44 51 54 66 68 99 102 108 132 153 187 198 204 297 306 374 396 459 561 594 612 661 748 918 1122 1188 1322 1683 1836 1983 2244 2644 3366 3966 5049 5949 6732 7271 7932 10098 11237 11898 14542 17847 20196 21813 22474 23796 29084 33711 35694 43626 44948 65439 67422 71388 87252 101133 123607 130878 134844 196317 202266 247214 261756 303399 370821 392634 404532 494428 606798 741642 785268 1112463 1213596 1483284 2224926 3337389 4449852 6674778 13349556