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10893936 = 243733109
BaseRepresentation
bin101001100011…
…101001110000
3202111110200010
4221203221300
510242101221
61025254520
7161411514
oct51435160
922443603
1010893936
116170859
123794440
132345721
141638144
15e52c76
hexa63a70

10893936 has 40 divisors (see below), whose sum is σ = 28537360. Its totient is φ = 3580416.

The previous prime is 10893919. The next prime is 10893943. The reversal of 10893936 is 63939801.

10893936 = T311 + T312 + ... + T456.

It is a junction number, because it is equal to n+sod(n) for n = 10893894 and 10893903.

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, 1950 + ... + 5058.

It is an arithmetic number, because the mean of its divisors is an integer number (713434).

Almost surely, 210893936 is an apocalyptic number.

10893936 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 10893936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14268680).

10893936 is an abundant number, since it is smaller than the sum of its proper divisors (17643424).

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

10893936 is a wasteful number, since it uses less digits than its factorization.

10893936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3193 (or 3187 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 10893936 is about 3300.5963097598. The cubic root of 10893936 is about 221.6808985781.

The spelling of 10893936 in words is "ten million, eight hundred ninety-three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 146 219 292 438 584 876 1168 1752 3109 3504 6218 9327 12436 18654 24872 37308 49744 74616 149232 226957 453914 680871 907828 1361742 1815656 2723484 3631312 5446968 10893936