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11396032 = 264143101
BaseRepresentation
bin101011011110…
…001111000000
3210102222102021
4223132033000
510404133112
61044131224
7165602404
oct53361700
923388367
1011396032
11648400a
123996b14
13249011b
141729104
151001907
hexade3c0

11396032 has 56 divisors (see below), whose sum is σ = 23938992. Its totient is φ = 5376000.

The previous prime is 11396009. The next prime is 11396039. The reversal of 11396032 is 23069311.

11396032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11395988 and 11396006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11396039) 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, 112782 + ... + 112882.

It is an arithmetic number, because the mean of its divisors is an integer number (427482).

Almost surely, 211396032 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 11396032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11969496).

11396032 is an abundant number, since it is smaller than the sum of its proper divisors (12542960).

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

11396032 is a wasteful number, since it uses less digits than its factorization.

11396032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 11396032 is about 3375.8009419988. The cubic root of 11396032 is about 225.0355960143.

The spelling of 11396032 in words is "eleven million, three hundred ninety-six thousand, thirty-two".

Divisors: 1 2 4 8 16 32 41 43 64 82 86 101 164 172 202 328 344 404 656 688 808 1312 1376 1616 1763 2624 2752 3232 3526 4141 4343 6464 7052 8282 8686 14104 16564 17372 28208 33128 34744 56416 66256 69488 112832 132512 138976 178063 265024 277952 356126 712252 1424504 2849008 5698016 11396032