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11164640 = 25569779
BaseRepresentation
bin101010100101…
…101111100000
3210000020000012
4222211233200
510324232030
61035144052
7163616654
oct52455740
923006005
1011164640
116336183
1238a5028
13240b9c6
1416a8a64
15ea8095
hexaa5be0

11164640 has 24 divisors (see below), whose sum is σ = 26376840. Its totient is φ = 4465792.

The previous prime is 11164607. The next prime is 11164651. The reversal of 11164640 is 4646111.

11164640 is nontrivially palindromic in base 3.

11164640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34730 + ... + 35049.

It is an arithmetic number, because the mean of its divisors is an integer number (1099035).

Almost surely, 211164640 is an apocalyptic number.

11164640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11164640 is an abundant number, since it is smaller than the sum of its proper divisors (15212200).

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

11164640 is an equidigital number, since it uses as much as digits as its factorization.

11164640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69794 (or 69786 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 11164640 is about 3341.3530193621. The cubic root of 11164640 is about 223.5020828030.

The spelling of 11164640 in words is "eleven million, one hundred sixty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 69779 139558 279116 348895 558232 697790 1116464 1395580 2232928 2791160 5582320 11164640