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11152816 = 2417131313
BaseRepresentation
bin101010100010…
…110110110000
3202222121210021
4222202312300
510323342231
61035013224
7163540333
oct52426660
922877707
1011152816
116328304
12389a214
1324064cc
1416a461a
15ea4811
hexaa2db0

11152816 has 40 divisors (see below), whose sum is σ = 23127984. Its totient is φ = 5191680.

The previous prime is 11152789. The next prime is 11152831. The reversal of 11152816 is 61825111.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35476 + ... + 35788.

Almost surely, 211152816 is an apocalyptic number.

11152816 is a gapful number since it is divisible by the number (16) 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 11152816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11563992).

11152816 is an abundant number, since it is smaller than the sum of its proper divisors (11975168).

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

11152816 is a wasteful number, since it uses less digits than its factorization.

11152816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 463 counting only the distinct ones).

The product of its digits is 480, while the sum is 25.

The square root of 11152816 is about 3339.5832075276. The cubic root of 11152816 is about 223.4231543857.

Adding to 11152816 its reverse (61825111), we get a palindrome (72977927).

The spelling of 11152816 in words is "eleven million, one hundred fifty-two thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 17 34 68 131 136 262 272 313 524 626 1048 1252 2096 2227 2504 4454 5008 5321 8908 10642 17816 21284 35632 41003 42568 82006 85136 164012 328024 656048 697051 1394102 2788204 5576408 11152816