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12841936 = 2417311523
BaseRepresentation
bin110000111111…
…001111010000
3220011102211021
4300333033100
511241420221
61135125224
7214104022
oct60771720
926142737
1012841936
117281378
124373814
1328782a3
1419c4012
1511da041
hexc3f3d0

12841936 has 40 divisors (see below), whose sum is σ = 27212544. Its totient is φ = 5844480.

The previous prime is 12841921. The next prime is 12841943. The reversal of 12841936 is 63914821.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7671 + ... + 9193.

Almost surely, 212841936 is an apocalyptic number.

12841936 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 12841936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13606272).

12841936 is an abundant number, since it is smaller than the sum of its proper divisors (14370608).

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

12841936 is a wasteful number, since it uses less digits than its factorization.

12841936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1579 (or 1573 counting only the distinct ones).

The product of its digits is 10368, while the sum is 34.

The square root of 12841936 is about 3583.5647057085. The cubic root of 12841936 is about 234.1766022613.

The spelling of 12841936 in words is "twelve million, eight hundred forty-one thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 17 31 34 62 68 124 136 248 272 496 527 1054 1523 2108 3046 4216 6092 8432 12184 24368 25891 47213 51782 94426 103564 188852 207128 377704 414256 755408 802621 1605242 3210484 6420968 12841936