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10838431 = 292511489
BaseRepresentation
bin101001010110…
…000110011111
3202101122112101
4221112012133
510233312211
61024145531
7161060632
oct51260637
922348471
1010838431
11613308a
1237682a7
132326396
141621c19
15e415c1
hexa5619f

10838431 has 8 divisors (see below), whose sum is σ = 11264400. Its totient is φ = 10416000.

The previous prime is 10838413. The next prime is 10838441. The reversal of 10838431 is 13483801.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10838431 - 29 = 10837919 is a prime.

It is a super-2 number, since 2×108384312 = 234943173083522, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10838431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10838441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6535 + ... + 8023.

It is an arithmetic number, because the mean of its divisors is an integer number (1408050).

Almost surely, 210838431 is an apocalyptic number.

10838431 is a deficient number, since it is larger than the sum of its proper divisors (425969).

10838431 is a wasteful number, since it uses less digits than its factorization.

10838431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1769.

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 10838431 is about 3292.1772431022. The cubic root of 10838431 is about 221.3037666046.

The spelling of 10838431 in words is "ten million, eight hundred thirty-eight thousand, four hundred thirty-one".

Divisors: 1 29 251 1489 7279 43181 373739 10838431