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12340960 = 255137563
BaseRepresentation
bin101111000100…
…111011100000
3212012222121121
4233010323200
511124402320
61120302024
7206616322
oct57047340
925188547
1012340960
116a69a45
124171914
132731258
1418d3612
15113b8aa
hexbc4ee0

12340960 has 48 divisors (see below), whose sum is σ = 29420496. Its totient is φ = 4891648.

The previous prime is 12340919. The next prime is 12340961. The reversal of 12340960 is 6904321.

12340960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12340961) 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, 21639 + ... + 22201.

It is an arithmetic number, because the mean of its divisors is an integer number (612927).

Almost surely, 212340960 is an apocalyptic number.

12340960 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 12340960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14710248).

12340960 is an abundant number, since it is smaller than the sum of its proper divisors (17079536).

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

12340960 is a wasteful number, since it uses less digits than its factorization.

12340960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 12340960 is about 3512.9702532188. The cubic root of 12340960 is about 231.0909732070.

The spelling of 12340960 in words is "twelve million, three hundred forty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 137 160 274 548 563 685 1096 1126 1370 2192 2252 2740 2815 4384 4504 5480 5630 9008 10960 11260 18016 21920 22520 45040 77131 90080 154262 308524 385655 617048 771310 1234096 1542620 2468192 3085240 6170480 12340960