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10838212 = 2272112457
BaseRepresentation
bin101001010110…
…000011000100
3202101122020021
4221112003010
510233310322
61024144524
7161060200
oct51260304
922348207
1010838212
116132a00
123768144
132326258
141621b00
15e414c7
hexa560c4

10838212 has 54 divisors (see below), whose sum is σ = 24304686. Its totient is φ = 4213440.

The previous prime is 10838203. The next prime is 10838213. The reversal of 10838212 is 21283801.

It can be written as a sum of positive squares in only one way, i.e., 10458756 + 379456 = 3234^2 + 616^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10838213) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 23488 + ... + 23944.

Almost surely, 210838212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10838212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12152343).

10838212 is an abundant number, since it is smaller than the sum of its proper divisors (13466474).

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

10838212 is a wasteful number, since it uses less digits than its factorization.

10838212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 10838212 is about 3292.1439822705. The cubic root of 10838212 is about 221.3022760490.

The spelling of 10838212 in words is "ten million, eight hundred thirty-eight thousand, two hundred twelve".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 121 154 196 242 308 457 484 539 847 914 1078 1694 1828 2156 3199 3388 5027 5929 6398 10054 11858 12796 20108 22393 23716 35189 44786 55297 70378 89572 110594 140756 221188 246323 387079 492646 774158 985292 1548316 2709553 5419106 10838212