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12347140 = 225133281
BaseRepresentation
bin101111000110…
…011100000100
3212020022002111
4233012130010
511130102030
61120350404
7206643331
oct57063404
925208074
1012347140
116a73653
124175404
132734000
1418d5988
15113d62a
hexbc6704

12347140 has 48 divisors (see below), whose sum is σ = 28188720. Its totient is φ = 4542720.

The previous prime is 12347123. The next prime is 12347161. The reversal of 12347140 is 4174321.

It can be written as a sum of positive squares in 8 ways, for example, as 8282884 + 4064256 = 2878^2 + 2016^2 .

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 43800 + ... + 44080.

It is an arithmetic number, because the mean of its divisors is an integer number (587265).

Almost surely, 212347140 is an apocalyptic number.

12347140 is a gapful number since it is divisible by the number (10) 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 12347140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14094360).

12347140 is an abundant number, since it is smaller than the sum of its proper divisors (15841580).

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

12347140 is a wasteful number, since it uses less digits than its factorization.

12347140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 12347140 is about 3513.8497406691. The cubic root of 12347140 is about 231.1295413543.

The spelling of 12347140 in words is "twelve million, three hundred forty-seven thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 281 338 562 676 845 1124 1405 1690 2197 2810 3380 3653 4394 5620 7306 8788 10985 14612 18265 21970 36530 43940 47489 73060 94978 189956 237445 474890 617357 949780 1234714 2469428 3086785 6173570 12347140