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10838065 = 572311427
BaseRepresentation
bin101001010110…
…000000110001
3202101122000211
4221112000301
510233304230
61024144121
7161056600
oct51260061
922348024
1010838065
116132887
123768041
132326174
141621a37
15e4142a
hexa56031

10838065 has 24 divisors (see below), whose sum is σ = 15628032. Its totient is φ = 7187040.

The previous prime is 10838041. The next prime is 10838081. The reversal of 10838065 is 56083801.

10838065 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-10838065 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6882 + ... + 8308.

It is an arithmetic number, because the mean of its divisors is an integer number (651168).

Almost surely, 210838065 is an apocalyptic number.

It is an amenable number.

10838065 is a deficient number, since it is larger than the sum of its proper divisors (4789967).

10838065 is a wasteful number, since it uses less digits than its factorization.

10838065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1477 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 10838065 is about 3292.1216563183. The cubic root of 10838065 is about 221.3012755279.

The spelling of 10838065 in words is "ten million, eight hundred thirty-eight thousand, sixty-five".

Divisors: 1 5 7 31 35 49 155 217 245 1085 1427 1519 7135 7595 9989 44237 49945 69923 221185 309659 349615 1548295 2167613 10838065