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12249640 = 2351323557
BaseRepresentation
bin101110101110…
…101000101000
3212001100100101
4232232220220
511113442030
61114315144
7206056144
oct56565050
925040311
1012249640
116a07377
124128ab4
1326cb810
1418ac224
15111e7ca
hexbaea28

12249640 has 32 divisors (see below), whose sum is σ = 29683080. Its totient is φ = 4522752.

The previous prime is 12249637. The next prime is 12249641. The reversal of 12249640 is 4694221.

12249640 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 3261636 + 8988004 = 1806^2 + 2998^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12249599 and 12249608.

It is not an unprimeable number, because it can be changed into a prime (12249641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11259 + ... + 12298.

Almost surely, 212249640 is an apocalyptic number.

12249640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12249640 is an abundant number, since it is smaller than the sum of its proper divisors (17433440).

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

12249640 is a wasteful number, since it uses less digits than its factorization.

12249640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23581 (or 23577 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 12249640 is about 3499.9485710507. The cubic root of 12249640 is about 230.5195564079.

The spelling of 12249640 in words is "twelve million, two hundred forty-nine thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 23557 47114 94228 117785 188456 235570 306241 471140 612482 942280 1224964 1531205 2449928 3062410 6124820 12249640