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11147392 = 27731193
BaseRepresentation
bin101010100001…
…100010000000
3202222100100101
4222201202000
510323204032
61034532144
7163515454
oct52414200
922870311
1011147392
116324223
123897054
132403bb9
1416a2664
15ea2de7
hexaa1880

11147392 has 32 divisors (see below), whose sum is σ = 22530780. Its totient is φ = 5492736.

The previous prime is 11147377. The next prime is 11147429. The reversal of 11147392 is 29374111.

It can be written as a sum of positive squares in 2 ways, for example, as 11128896 + 18496 = 3336^2 + 136^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 11147392.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8748 + ... + 9940.

Almost surely, 211147392 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 11147392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11265390).

11147392 is an abundant number, since it is smaller than the sum of its proper divisors (11383388).

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

11147392 is an equidigital number, since it uses as much as digits as its factorization.

11147392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1268 counting only the distinct ones).

The product of its digits is 1512, while the sum is 28.

The square root of 11147392 is about 3338.7710313827. The cubic root of 11147392 is about 223.3869290444.

The spelling of 11147392 in words is "eleven million, one hundred forty-seven thousand, three hundred ninety-two".

Divisors: 1 2 4 8 16 32 64 73 128 146 292 584 1168 1193 2336 2386 4672 4772 9344 9544 19088 38176 76352 87089 152704 174178 348356 696712 1393424 2786848 5573696 11147392