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12795040 = 255211379
BaseRepresentation
bin110000110011…
…110010100000
3220002001111101
4300303302200
511233420130
61134124144
7213520216
oct60636240
926061441
1012795040
11724a115
124350654
13285cb3b
1419b0cb6
1511cb1ca
hexc33ca0

12795040 has 48 divisors (see below), whose sum is σ = 30451680. Its totient is φ = 5080320.

The previous prime is 12795023. The next prime is 12795043. The reversal of 12795040 is 4059721.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12795043) 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, 33571 + ... + 33949.

It is an arithmetic number, because the mean of its divisors is an integer number (634410).

Almost surely, 212795040 is an apocalyptic number.

12795040 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 12795040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15225840).

12795040 is an abundant number, since it is smaller than the sum of its proper divisors (17656640).

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

12795040 is a wasteful number, since it uses less digits than its factorization.

12795040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 12795040 is about 3577.0155157617. The cubic root of 12795040 is about 233.8912003035.

The spelling of 12795040 in words is "twelve million, seven hundred ninety-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 211 379 422 758 844 1055 1516 1688 1895 2110 3032 3376 3790 4220 6064 6752 7580 8440 12128 15160 16880 30320 33760 60640 79969 159938 319876 399845 639752 799690 1279504 1599380 2559008 3198760 6397520 12795040