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10456938 = 234173797
BaseRepresentation
bin100111111000…
…111101101010
3201200021020000
4213320331222
510134110223
61012043430
7154611462
oct47707552
921607200
1010456938
1159a24a8
123603576
13222184b
141562ba2
15db8543
hex9f8f6a

10456938 has 40 divisors (see below), whose sum is σ = 24816132. Its totient is φ = 3279744.

The previous prime is 10456937. The next prime is 10456961. The reversal of 10456938 is 83965401.

It can be written as a sum of positive squares in 2 ways, for example, as 10093329 + 363609 = 3177^2 + 603^2 .

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (10456937) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 856 + ... + 4652.

Almost surely, 210456938 is an apocalyptic number.

10456938 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10456938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12408066).

10456938 is an abundant number, since it is smaller than the sum of its proper divisors (14359194).

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

10456938 is a wasteful number, since it uses less digits than its factorization.

10456938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3828 (or 3819 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 10456938 is about 3233.7189117176. The cubic root of 10456938 is about 218.6761962723.

The spelling of 10456938 in words is "ten million, four hundred fifty-six thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 306 459 918 1377 2754 3797 7594 11391 22782 34173 64549 68346 102519 129098 193647 205038 307557 387294 580941 615114 1161882 1742823 3485646 5228469 10456938