Search a number
-
+
11167164 = 22321771257
BaseRepresentation
bin101010100110…
…010110111100
3210000100110200
4222212112330
510324322124
61035203500
7163630221
oct52462674
923010420
1011167164
116338068
1238a6590
13240cbb8
1416a9948
15ea8bc9
hexaa65bc

11167164 has 72 divisors (see below), whose sum is σ = 30427488. Its totient is φ = 3440640.

The previous prime is 11167151. The next prime is 11167183. The reversal of 11167164 is 46176111.

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 23 ways as a sum of consecutive naturals, for example, 43324 + ... + 43580.

It is an arithmetic number, because the mean of its divisors is an integer number (422604).

Almost surely, 211167164 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 11167164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15213744).

11167164 is an abundant number, since it is smaller than the sum of its proper divisors (19260324).

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

11167164 is a wasteful number, since it uses less digits than its factorization.

11167164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 350 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 11167164 is about 3341.7306893285. The cubic root of 11167164 is about 223.5189239716.

The spelling of 11167164 in words is "eleven million, one hundred sixty-seven thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 71 102 142 153 204 213 257 284 306 426 514 612 639 771 852 1028 1207 1278 1542 2313 2414 2556 3084 3621 4369 4626 4828 7242 8738 9252 10863 13107 14484 17476 18247 21726 26214 36494 39321 43452 52428 54741 72988 78642 109482 157284 164223 218964 310199 328446 620398 656892 930597 1240796 1861194 2791791 3722388 5583582 11167164