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12793460 = 22519131257
BaseRepresentation
bin110000110011…
…011001110100
3220001222022212
4300303121310
511233342320
61134112552
7213512501
oct60633164
926058285
1012793460
117248a09
12434b758
13285c1c4
1419b04a8
1511ca9c5
hexc33674

12793460 has 48 divisors (see below), whose sum is σ = 28607040. Its totient is φ = 4792320.

The previous prime is 12793457. The next prime is 12793463. The reversal of 12793460 is 6439721.

12793460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12793457) and next prime (12793463).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12793463) 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, 49652 + ... + 49908.

It is an arithmetic number, because the mean of its divisors is an integer number (595980).

Almost surely, 212793460 is an apocalyptic number.

12793460 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 12793460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14303520).

12793460 is an abundant number, since it is smaller than the sum of its proper divisors (15813580).

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

12793460 is a wasteful number, since it uses less digits than its factorization.

12793460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 12793460 is about 3576.7946544357. The cubic root of 12793460 is about 233.8815725282.

The spelling of 12793460 in words is "twelve million, seven hundred ninety-three thousand, four hundred sixty".

Divisors: 1 2 4 5 10 19 20 38 76 95 131 190 257 262 380 514 524 655 1028 1285 1310 2489 2570 2620 4883 4978 5140 9766 9956 12445 19532 24415 24890 33667 48830 49780 67334 97660 134668 168335 336670 639673 673340 1279346 2558692 3198365 6396730 12793460