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10904816 = 2413103509
BaseRepresentation
bin101001100110…
…010011110000
3202112000121002
4221212103300
510242423231
61025421132
7161455316
oct51462360
922460532
1010904816
116178a4a
12379a7a8
13234a670
14163c0b6
15e560cb
hexa664f0

10904816 has 40 divisors (see below), whose sum is σ = 23019360. Its totient is φ = 4974336.

The previous prime is 10904809. The next prime is 10904821. The reversal of 10904816 is 61840901.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21170 + ... + 21678.

It is an arithmetic number, because the mean of its divisors is an integer number (575484).

Almost surely, 210904816 is an apocalyptic number.

10904816 is a gapful number since it is divisible by the number (16) 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 10904816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11509680).

10904816 is an abundant number, since it is smaller than the sum of its proper divisors (12114544).

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

10904816 is a wasteful number, since it uses less digits than its factorization.

10904816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 10904816 is about 3302.2440854667. The cubic root of 10904816 is about 221.7546731283.

The spelling of 10904816 in words is "ten million, nine hundred four thousand, eight hundred sixteen".

Divisors: 1 2 4 8 13 16 26 52 103 104 206 208 412 509 824 1018 1339 1648 2036 2678 4072 5356 6617 8144 10712 13234 21424 26468 52427 52936 104854 105872 209708 419416 681551 838832 1363102 2726204 5452408 10904816