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10838394 = 233753541
BaseRepresentation
bin101001010110…
…000101111010
3202101122111000
4221112011322
510233312034
61024145430
7161060550
oct51260572
922348430
1010838394
116133056
123768276
132326368
141621bd0
15e41599
hexa5617a

10838394 has 64 divisors (see below), whose sum is σ = 28097280. Its totient is φ = 3032640.

The previous prime is 10838393. The next prime is 10838407. The reversal of 10838394 is 49383801.

10838394 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (10838393) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19764 + ... + 20304.

It is an arithmetic number, because the mean of its divisors is an integer number (439020).

Almost surely, 210838394 is an apocalyptic number.

10838394 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10838394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14048640).

10838394 is an abundant number, since it is smaller than the sum of its proper divisors (17258886).

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

10838394 is a wasteful number, since it uses less digits than its factorization.

10838394 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 10838394 is about 3292.1716237159. The cubic root of 10838394 is about 221.3035147770.

The spelling of 10838394 in words is "ten million, eight hundred thirty-eight thousand, three hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 53 54 63 106 126 159 189 318 371 378 477 541 742 954 1082 1113 1431 1623 2226 2862 3246 3339 3787 4869 6678 7574 9738 10017 11361 14607 20034 22722 28673 29214 34083 57346 68166 86019 102249 172038 200711 204498 258057 401422 516114 602133 774171 1204266 1548342 1806399 3612798 5419197 10838394