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12825440 = 255711129
BaseRepresentation
bin110000111011…
…001101100000
3220010121012022
4300323031200
511240403230
61134521012
7214004645
oct60731540
926117168
1012825440
11726aa41
124366168
132870924
1419bbdcc
1511d51e5
hexc3b360

12825440 has 48 divisors (see below), whose sum is σ = 30754080. Its totient is φ = 5053440.

The previous prime is 12825431. The next prime is 12825451. The reversal of 12825440 is 4452821.

It is a happy number.

It is a super-2 number, since 2×128254402 = 328983822387200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10796 + ... + 11924.

It is an arithmetic number, because the mean of its divisors is an integer number (640710).

Almost surely, 212825440 is an apocalyptic number.

12825440 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 12825440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15377040).

12825440 is an abundant number, since it is smaller than the sum of its proper divisors (17928640).

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

12825440 is a wasteful number, since it uses less digits than its factorization.

12825440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

The square root of 12825440 is about 3581.2623472737. The cubic root of 12825440 is about 234.0762894408.

The spelling of 12825440 in words is "twelve million, eight hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 71 80 142 160 284 355 568 710 1129 1136 1420 2258 2272 2840 4516 5645 5680 9032 11290 11360 18064 22580 36128 45160 80159 90320 160318 180640 320636 400795 641272 801590 1282544 1603180 2565088 3206360 6412720 12825440