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12255640 = 2351767269
BaseRepresentation
bin101110110000…
…000110011000
3212001122120121
4232300012120
511114140030
61114403024
7206112505
oct56600630
925048517
1012255640
116a10931
124130474
132701477
1418b04ac
15112147a
hexbb0198

12255640 has 64 divisors (see below), whose sum is σ = 29743200. Its totient is φ = 4528128.

The previous prime is 12255637. The next prime is 12255647. The reversal of 12255640 is 4655221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12255647) 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, 45426 + ... + 45694.

Almost surely, 212255640 is an apocalyptic number.

12255640 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 12255640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14871600).

12255640 is an abundant number, since it is smaller than the sum of its proper divisors (17487560).

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

12255640 is a wasteful number, since it uses less digits than its factorization.

12255640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 12255640 is about 3500.8056215677. The cubic root of 12255640 is about 230.5571872166.

The spelling of 12255640 in words is "twelve million, two hundred fifty-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 67 68 85 134 136 170 268 269 335 340 536 538 670 680 1076 1139 1340 1345 2152 2278 2680 2690 4556 4573 5380 5695 9112 9146 10760 11390 18023 18292 22780 22865 36046 36584 45560 45730 72092 90115 91460 144184 180230 182920 306391 360460 612782 720920 1225564 1531955 2451128 3063910 6127820 12255640