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11427616 = 251811973
BaseRepresentation
bin101011100101…
…111100100000
3210111120202001
4223211330200
510411140431
61044533344
7166063444
oct53457440
923446661
1011427616
1164a5812
1239b1254
1324a1605
141736824
15100ae61
hexae5f20

11427616 has 24 divisors (see below), whose sum is σ = 22633884. Its totient is φ = 5679360.

The previous prime is 11427589. The next prime is 11427617. The reversal of 11427616 is 61672411.

11427616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8880400 + 2547216 = 2980^2 + 1596^2 .

It is not an unprimeable number, because it can be changed into a prime (11427617) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4806 + ... + 6778.

Almost surely, 211427616 is an apocalyptic number.

11427616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11427616 is a deficient number, since it is larger than the sum of its proper divisors (11206268).

11427616 is a wasteful number, since it uses less digits than its factorization.

11427616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2164 (or 2156 counting only the distinct ones).

The product of its digits is 2016, while the sum is 28.

The square root of 11427616 is about 3380.4757061692. The cubic root of 11427616 is about 225.2432989589.

It can be divided in two parts, 114 and 27616, that added together give a triangular number (27730 = T235).

The spelling of 11427616 in words is "eleven million, four hundred twenty-seven thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 32 181 362 724 1448 1973 2896 3946 5792 7892 15784 31568 63136 357113 714226 1428452 2856904 5713808 11427616