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11387664 = 2432312551
BaseRepresentation
bin101011011100…
…001100010000
3210102112221100
4223130030100
510403401124
61044024400
7165536121
oct53341420
923375840
1011387664
1164787a2
123992100
132489382
141726048
15eee1c9
hexadc310

11387664 has 60 divisors (see below), whose sum is σ = 32910592. Its totient is φ = 3672000.

The previous prime is 11387617. The next prime is 11387687. The reversal of 11387664 is 46678311.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3189 + ... + 5739.

Almost surely, 211387664 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 11387664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16455296).

11387664 is an abundant number, since it is smaller than the sum of its proper divisors (21522928).

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

11387664 is a wasteful number, since it uses less digits than its factorization.

11387664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2596 (or 2587 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 11387664 is about 3374.5613048217. The cubic root of 11387664 is about 224.9805020141.

The spelling of 11387664 in words is "eleven million, three hundred eighty-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1488 2232 2551 4464 5102 7653 10204 15306 20408 22959 30612 40816 45918 61224 79081 91836 122448 158162 183672 237243 316324 367344 474486 632648 711729 948972 1265296 1423458 1897944 2846916 3795888 5693832 11387664