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12895056 = 2432149601
BaseRepresentation
bin110001001100…
…001101010000
3220021010200200
4301030031100
511300120211
61140215200
7214414626
oct61141520
926233620
1012895056
117308279
12439a500
132896515
1419d9516
1511eab56
hexc4c350

12895056 has 60 divisors (see below), whose sum is σ = 36390900. Its totient is φ = 4262400.

The previous prime is 12895049. The next prime is 12895063. The reversal of 12895056 is 65059821.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12895049) and next prime (12895063).

It can be written as a sum of positive squares in 2 ways, for example, as 6051600 + 6843456 = 2460^2 + 2616^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12895056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21156 + ... + 21756.

It is an arithmetic number, because the mean of its divisors is an integer number (606515).

Almost surely, 212895056 is an apocalyptic number.

12895056 is a gapful number since it is divisible by the number (16) 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 12895056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18195450).

12895056 is an abundant number, since it is smaller than the sum of its proper divisors (23495844).

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

12895056 is a wasteful number, since it uses less digits than its factorization.

12895056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 12895056 is about 3590.9686715425. The cubic root of 12895056 is about 234.4990445237.

The spelling of 12895056 in words is "twelve million, eight hundred ninety-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 149 298 447 596 601 894 1192 1202 1341 1788 1803 2384 2404 2682 3576 3606 4808 5364 5409 7152 7212 9616 10728 10818 14424 21456 21636 28848 43272 86544 89549 179098 268647 358196 537294 716392 805941 1074588 1432784 1611882 2149176 3223764 4298352 6447528 12895056