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12794960 = 245159937
BaseRepresentation
bin110000110011…
…110001010000
3220002001101102
4300303301100
511233414320
61134123532
7213520043
oct60636120
926061342
1012794960
11724a052
1243505a8
13285caa9
1419b0c5a
1511cb175
hexc33c50

12794960 has 20 divisors (see below), whose sum is σ = 29748468. Its totient is φ = 5117952.

The previous prime is 12794959. The next prime is 12794963. The reversal of 12794960 is 6949721.

It can be written as a sum of positive squares in 2 ways, for example, as 7795264 + 4999696 = 2792^2 + 2236^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×127949602 = 327422002803200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12794963) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 79889 + ... + 80048.

Almost surely, 212794960 is an apocalyptic number.

12794960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12794960 is an abundant number, since it is smaller than the sum of its proper divisors (16953508).

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

12794960 is a wasteful number, since it uses less digits than its factorization.

12794960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159950 (or 159944 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 38.

The square root of 12794960 is about 3577.0043332375. The cubic root of 12794960 is about 233.8907128402.

The spelling of 12794960 in words is "twelve million, seven hundred ninety-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 159937 319874 639748 799685 1279496 1599370 2558992 3198740 6397480 12794960