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10398240 = 253352983
BaseRepresentation
bin100111101010…
…101000100000
3201120021201000
4213222220200
510130220430
61010512000
7154245366
oct47525040
921507630
1010398240
115962396
123595600
132200c08
141549636
15da5e60
hex9eaa20

10398240 has 192 divisors, whose sum is σ = 38102400. Its totient is φ = 2644992.

The previous prime is 10398239. The next prime is 10398247. The reversal of 10398240 is 4289301.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10398247) 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, 125239 + ... + 125321.

It is an arithmetic number, because the mean of its divisors is an integer number (198450).

Almost surely, 210398240 is an apocalyptic number.

10398240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10398240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19051200).

10398240 is an abundant number, since it is smaller than the sum of its proper divisors (27704160).

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

10398240 is a wasteful number, since it uses less digits than its factorization.

10398240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 10398240 is about 3224.6302113576. The cubic root of 10398240 is about 218.2662627671.

The spelling of 10398240 in words is "ten million, three hundred ninety-eight thousand, two hundred forty".