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13355364 = 22311235383
BaseRepresentation
bin110010111100…
…100101100100
3221010112010010
4302330211210
511404332424
61154130220
7221342631
oct62744544
927115103
1013355364
1175a20a0
124580970
1329c7ba9
141ab9188
15128c229
hexcbc964

13355364 has 96 divisors (see below), whose sum is σ = 36578304. Its totient is φ = 3752320.

The previous prime is 13355351. The next prime is 13355371. The reversal of 13355364 is 46355331.

It is a happy number.

13355364 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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, 160867 + ... + 160949.

It is an arithmetic number, because the mean of its divisors is an integer number (381024).

Almost surely, 213355364 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 13355364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18289152).

13355364 is an abundant number, since it is smaller than the sum of its proper divisors (23222940).

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

13355364 is a wasteful number, since it uses less digits than its factorization.

13355364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 175 counting only the distinct ones).

The product of its digits is 16200, while the sum is 30.

The square root of 13355364 is about 3654.4991448898. The cubic root of 13355364 is about 237.2567496524.

The spelling of 13355364 in words is "thirteen million, three hundred fifty-five thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 53 66 69 83 92 106 132 138 159 166 212 249 253 276 318 332 498 506 583 636 759 913 996 1012 1166 1219 1518 1749 1826 1909 2332 2438 2739 3036 3498 3652 3657 3818 4399 4876 5478 5727 6996 7314 7636 8798 10956 11454 13197 13409 14628 17596 20999 22908 26394 26818 40227 41998 48389 52788 53636 62997 80454 83996 96778 101177 125994 145167 160908 193556 202354 251988 290334 303531 404708 580668 607062 1112947 1214124 2225894 3338841 4451788 6677682 13355364