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12794940 = 22325312293
BaseRepresentation
bin110000110011…
…110000111100
3220002001100200
4300303300330
511233414230
61134123500
7213520014
oct60636074
926061320
1012794940
11724a034
124350590
13285ca92
1419b0c44
1511cb160
hexc33c3c

12794940 has 72 divisors (see below), whose sum is σ = 40080768. Its totient is φ = 3300480.

The previous prime is 12794927. The next prime is 12794941. The reversal of 12794940 is 4949721.

12794940 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 (36).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 12794895 and 12794904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12794941) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4434 + ... + 6726.

Almost surely, 212794940 is an apocalyptic number.

12794940 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 12794940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20040384).

12794940 is an abundant number, since it is smaller than the sum of its proper divisors (27285828).

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

12794940 is a wasteful number, since it uses less digits than its factorization.

12794940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2339 (or 2334 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 12794940 is about 3577.0015376010. The cubic root of 12794940 is about 233.8905909741.

The spelling of 12794940 in words is "twelve million, seven hundred ninety-four thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1860 2293 2790 4586 5580 6879 9172 11465 13758 20637 22930 27516 34395 41274 45860 68790 71083 82548 103185 137580 142166 206370 213249 284332 355415 412740 426498 639747 710830 852996 1066245 1279494 1421660 2132490 2558988 3198735 4264980 6397470 12794940