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10331104 = 257172713
BaseRepresentation
bin100111011010…
…001111100000
3201102212121111
4213122033200
510121043404
61005233104
7153545560
oct47321740
921385544
1010331104
115916a03
123562794
1321a94a4
14152cda0
15d91104
hex9da3e0

10331104 has 48 divisors (see below), whose sum is σ = 24621408. Its totient is φ = 4165632.

The previous prime is 10331099. The next prime is 10331147. The reversal of 10331104 is 40113301.

10331104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 2452 + ... + 5164.

It is an arithmetic number, because the mean of its divisors is an integer number (512946).

Almost surely, 210331104 is an apocalyptic number.

10331104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10331104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12310704).

10331104 is an abundant number, since it is smaller than the sum of its proper divisors (14290304).

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

10331104 is a wasteful number, since it uses less digits than its factorization.

10331104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2747 (or 2739 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 10331104 is about 3214.2034783131. The cubic root of 10331104 is about 217.7955044419.

Adding to 10331104 its reverse (40113301), we get a palindrome (50444405).

The spelling of 10331104 in words is "ten million, three hundred thirty-one thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 476 544 952 1904 2713 3808 5426 10852 18991 21704 37982 43408 46121 75964 86816 92242 151928 184484 303856 322847 368968 607712 645694 737936 1291388 1475872 2582776 5165552 10331104