Search a number
-
+
11152704 = 263292003
BaseRepresentation
bin101010100010…
…110101000000
3202222121122010
4222202311000
510323341304
61035012520
7163540113
oct52426500
922877563
1011152704
116328212
12389a140
132406444
1416a457a
15ea4789
hexaa2d40

11152704 has 56 divisors (see below), whose sum is σ = 30540960. Its totient is φ = 3587584.

The previous prime is 11152703. The next prime is 11152727. The reversal of 11152704 is 40725111.

It is a happy number.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11152703) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4567 + ... + 6569.

Almost surely, 211152704 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 11152704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15270480).

11152704 is an abundant number, since it is smaller than the sum of its proper divisors (19388256).

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

11152704 is a wasteful number, since it uses less digits than its factorization.

11152704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2047 (or 2037 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 11152704 is about 3339.5664389259. The cubic root of 11152704 is about 223.4224064885.

Adding to 11152704 its reverse (40725111), we get a palindrome (51877815).

The spelling of 11152704 in words is "eleven million, one hundred fifty-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 174 192 232 348 464 696 928 1392 1856 2003 2784 4006 5568 6009 8012 12018 16024 24036 32048 48072 58087 64096 96144 116174 128192 174261 192288 232348 348522 384576 464696 697044 929392 1394088 1858784 2788176 3717568 5576352 11152704