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11164476 = 22319232129
BaseRepresentation
bin101010100101…
…101100111100
3210000012210010
4222211230330
510324230401
61035143220
7163616331
oct52455474
923005703
1011164476
116336044
1238a4b10
13240b8cb
1416a8988
15ea7ed6
hexaa5b3c

11164476 has 48 divisors (see below), whose sum is σ = 28627200. Its totient is φ = 3370752.

The previous prime is 11164469. The next prime is 11164493. The reversal of 11164476 is 67446111.

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, 4180 + ... + 6308.

It is an arithmetic number, because the mean of its divisors is an integer number (596400).

Almost surely, 211164476 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 11164476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14313600).

11164476 is an abundant number, since it is smaller than the sum of its proper divisors (17462724).

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

11164476 is a wasteful number, since it uses less digits than its factorization.

11164476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2178 (or 2176 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 11164476 is about 3341.3284783152. The cubic root of 11164476 is about 223.5009884396.

The spelling of 11164476 in words is "eleven million, one hundred sixty-four thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 12 19 23 38 46 57 69 76 92 114 138 228 276 437 874 1311 1748 2129 2622 4258 5244 6387 8516 12774 25548 40451 48967 80902 97934 121353 146901 161804 195868 242706 293802 485412 587604 930373 1860746 2791119 3721492 5582238 11164476