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12210496 = 261011889
BaseRepresentation
bin101110100101…
…000101000000
3211222100122121
4232211011000
511111213441
61113414024
7205534054
oct56450500
924870577
1012210496
11698aa21
12410a314
1326b6a5c
14189bc64
151112dd1
hexba5140

12210496 has 28 divisors (see below), whose sum is σ = 24483060. Its totient is φ = 6041600.

The previous prime is 12210487. The next prime is 12210503. The reversal of 12210496 is 69401221.

It can be written as a sum of positive squares in 2 ways, for example, as 9388096 + 2822400 = 3064^2 + 1680^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12210496.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5520 + ... + 7408.

It is an arithmetic number, because the mean of its divisors is an integer number (874395).

Almost surely, 212210496 is an apocalyptic number.

12210496 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 12210496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12241530).

12210496 is an abundant number, since it is smaller than the sum of its proper divisors (12272564).

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

12210496 is a wasteful number, since it uses less digits than its factorization.

12210496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2002 (or 1992 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 12210496 is about 3494.3520143225. The cubic root of 12210496 is about 230.2737509211.

The spelling of 12210496 in words is "twelve million, two hundred ten thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 101 202 404 808 1616 1889 3232 3778 6464 7556 15112 30224 60448 120896 190789 381578 763156 1526312 3052624 6105248 12210496