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11164932 = 2233195441
BaseRepresentation
bin101010100101…
…110100000100
3210000020102000
4222211310010
510324234212
61035145300
7163620552
oct52456404
923006360
1011164932
116336419
1238a5230
13240bb8c
1416a8bd2
15ea81dc
hexaa5d04

11164932 has 48 divisors (see below), whose sum is σ = 30475200. Its totient is φ = 3525120.

The previous prime is 11164921. The next prime is 11164939. The reversal of 11164932 is 23946111.

11164932 is a `hidden beast` number, since 1 + 11 + 649 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11164896 and 11164905.

It is not an unprimeable number, because it can be changed into a prime (11164939) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 669 + ... + 4772.

It is an arithmetic number, because the mean of its divisors is an integer number (634900).

Almost surely, 211164932 is an apocalyptic number.

11164932 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11164932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15237600).

11164932 is an abundant number, since it is smaller than the sum of its proper divisors (19310268).

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

11164932 is a wasteful number, since it uses less digits than its factorization.

11164932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5473 (or 5465 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 11164932 is about 3341.3967139506. The cubic root of 11164932 is about 223.5040312772.

The spelling of 11164932 in words is "eleven million, one hundred sixty-four thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 513 684 1026 2052 5441 10882 16323 21764 32646 48969 65292 97938 103379 146907 195876 206758 293814 310137 413516 587628 620274 930411 1240548 1860822 2791233 3721644 5582466 11164932