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12570896 = 241324649
BaseRepresentation
bin101111111101…
…000100010000
3212122200000202
4233331010100
511204232041
61125234332
7211564562
oct57750420
925580022
1012570896
117106778
1242629a8
1327b1b00
141953332
151184a9b
hexbfd110

12570896 has 30 divisors (see below), whose sum is σ = 26379450. Its totient is φ = 5800704.

The previous prime is 12570893. The next prime is 12570919. The reversal of 12570896 is 69807521.

12570896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 1254400 + 11316496 = 1120^2 + 3364^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12570893) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 380 + ... + 5028.

It is an arithmetic number, because the mean of its divisors is an integer number (879315).

Almost surely, 212570896 is an apocalyptic number.

12570896 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 12570896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13189725).

12570896 is an abundant number, since it is smaller than the sum of its proper divisors (13808554).

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

12570896 is a wasteful number, since it uses less digits than its factorization.

12570896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4683 (or 4664 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 38.

The square root of 12570896 is about 3545.5459382160. The cubic root of 12570896 is about 232.5173748915.

The spelling of 12570896 in words is "twelve million, five hundred seventy thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2704 4649 9298 18596 37192 60437 74384 120874 241748 483496 785681 966992 1571362 3142724 6285448 12570896