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11412032 = 26172617
BaseRepresentation
bin101011100010…
…001001000000
3210110210100212
4223202021000
510410141112
61044333252
7166000142
oct53421100
923423325
1011412032
116495035
1239a4228
1324974a8
141730c92
151006522
hexae2240

11412032 has 42 divisors (see below), whose sum is σ = 24095202. Its totient is φ = 5361664.

The previous prime is 11412029. The next prime is 11412041. The reversal of 11412032 is 23021411.

It can be written as a sum of positive squares in 3 ways, for example, as 1577536 + 9834496 = 1256^2 + 3136^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11411998 and 11412016.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18188 + ... + 18804.

Almost surely, 211412032 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 11412032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12047601).

11412032 is an abundant number, since it is smaller than the sum of its proper divisors (12683170).

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

11412032 is an equidigital number, since it uses as much as digits as its factorization.

11412032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 11412032 is about 3378.1699187578. The cubic root of 11412032 is about 225.1408632333.

Adding to 11412032 its reverse (23021411), we get a palindrome (34433443).

The spelling of 11412032 in words is "eleven million, four hundred twelve thousand, thirty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 289 544 578 617 1088 1156 1234 2312 2468 4624 4936 9248 9872 10489 18496 19744 20978 39488 41956 83912 167824 178313 335648 356626 671296 713252 1426504 2853008 5706016 11412032