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11082632 = 231121072
BaseRepresentation
bin101010010001…
…101110001000
3202212001111212
4222101232020
510314121012
61033312252
7163125611
oct52215610
922761455
1011082632
11628a600
123865688
1323b0592
141686c08
15e8db22
hexa91b88

11082632 has 36 divisors (see below), whose sum is σ = 23056215. Its totient is φ = 4990480.

The previous prime is 11082613. The next prime is 11082653. The reversal of 11082632 is 23628011.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 5541316 + 5541316 = 2354^2 + 2354^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=2354.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11082598 and 11082607.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 103523 + ... + 103629.

Almost surely, 211082632 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 11082632

11082632 is an abundant number, since it is smaller than the sum of its proper divisors (11973583).

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

11082632 is a wasteful number, since it uses less digits than its factorization.

11082632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 120 counting only the distinct ones).

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

The square root of 11082632 is about 3329.0587258263. The cubic root of 11082632 is about 222.9535050230.

The spelling of 11082632 in words is "eleven million, eighty-two thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 88 107 121 214 242 428 484 856 968 1177 2354 4708 9416 11449 12947 22898 25894 45796 51788 91592 103576 125939 251878 503756 1007512 1385329 2770658 5541316 11082632