Search a number
-
+
11356664 = 23112331181
BaseRepresentation
bin101011010100…
…100111111000
3210100222102012
4223110213320
510401403124
61043225052
7165346544
oct53244770
923328365
1011356664
116457480
123978188
132478227
141718a24
15ee4e0e
hexad49f8

11356664 has 64 divisors (see below), whose sum is σ = 25159680. Its totient is φ = 4752000.

The previous prime is 11356649. The next prime is 11356679. The reversal of 11356664 is 46665311.

It is an interprime number because it is at equal distance from previous prime (11356649) and next prime (11356679).

It is a self number, because there is not a number n which added to its sum of digits gives 11356664.

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 15 ways as a sum of consecutive naturals, for example, 62654 + ... + 62834.

It is an arithmetic number, because the mean of its divisors is an integer number (393120).

Almost surely, 211356664 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 11356664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12579840).

11356664 is an abundant number, since it is smaller than the sum of its proper divisors (13803016).

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

11356664 is a wasteful number, since it uses less digits than its factorization.

11356664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 248 counting only the distinct ones).

The product of its digits is 12960, while the sum is 32.

The square root of 11356664 is about 3369.9649849813. The cubic root of 11356664 is about 224.7761658769.

The spelling of 11356664 in words is "eleven million, three hundred fifty-six thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 22 23 31 44 46 62 88 92 124 181 184 248 253 341 362 506 682 713 724 1012 1364 1426 1448 1991 2024 2728 2852 3982 4163 5611 5704 7843 7964 8326 11222 15686 15928 16652 22444 31372 33304 44888 45793 61721 62744 91586 123442 129053 183172 246884 258106 366344 493768 516212 1032424 1419583 2839166 5678332 11356664