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10990928 = 241353997
BaseRepresentation
bin101001111011…
…010101010000
3202200101201102
4221323111100
510303202203
61031323532
7162264344
oct51732520
922611642
1010990928
116227713
1238205a8
13237a910
141661624
15e71888
hexa7b550

10990928 has 40 divisors (see below), whose sum is σ = 23389128. Its totient is φ = 4972032.

The previous prime is 10990909. The next prime is 10990937. The reversal of 10990928 is 82909901.

10990928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2650384 + 8340544 = 1628^2 + 2888^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10990891 and 10990900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10526 + ... + 11522.

Almost surely, 210990928 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 10990928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11694564).

10990928 is an abundant number, since it is smaller than the sum of its proper divisors (12398200).

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

10990928 is a wasteful number, since it uses less digits than its factorization.

10990928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 38.

The square root of 10990928 is about 3315.2568527944. The cubic root of 10990928 is about 222.3368530070.

The spelling of 10990928 in words is "ten million, nine hundred ninety thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 52 53 104 106 208 212 424 689 848 997 1378 1994 2756 3988 5512 7976 11024 12961 15952 25922 51844 52841 103688 105682 207376 211364 422728 686933 845456 1373866 2747732 5495464 10990928