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12245640 = 2335119277
BaseRepresentation
bin101110101101…
…101010001000
3212001010212020
4232231222020
511113330030
61114244440
7206041401
oct56555210
925033766
1012245640
116a04370
124126720
1326c9a54
1418aa9a8
15111d510
hexbada88

12245640 has 64 divisors (see below), whose sum is σ = 40080960. Its totient is φ = 2968320.

The previous prime is 12245621. The next prime is 12245641. The reversal of 12245640 is 4654221.

12245640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12245640.

It is not an unprimeable number, because it can be changed into a prime (12245641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3319 + ... + 5958.

It is an arithmetic number, because the mean of its divisors is an integer number (626265).

Almost surely, 212245640 is an apocalyptic number.

12245640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12245640 is an abundant number, since it is smaller than the sum of its proper divisors (27835320).

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

12245640 is a wasteful number, since it uses less digits than its factorization.

12245640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9302 (or 9298 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 12245640 is about 3499.3770874257. The cubic root of 12245640 is about 230.4944623750.

Adding to 12245640 its reverse (4654221), we get a palindrome (16899861).

The spelling of 12245640 in words is "twelve million, two hundred forty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 9277 18554 27831 37108 46385 55662 74216 92770 102047 111324 139155 185540 204094 222648 278310 306141 371080 408188 510235 556620 612282 816376 1020470 1113240 1224564 1530705 2040940 2449128 3061410 4081880 6122820 12245640