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10268740 = 2251961443
BaseRepresentation
bin100111001011…
…000001000100
3201022201001201
4213023001010
510112044430
61004032244
7153166006
oct47130104
921281051
1010268740
115884069
123532684
132186ca1
141514376
15d7c8ca
hex9cb044

10268740 has 48 divisors (see below), whose sum is σ = 23123520. Its totient is φ = 3818880.

The previous prime is 10268729. The next prime is 10268747. The reversal of 10268740 is 4786201.

It is a junction number, because it is equal to n+sod(n) for n = 10268699 and 10268708.

It is not an unprimeable number, because it can be changed into a prime (10268747) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22959 + ... + 23401.

It is an arithmetic number, because the mean of its divisors is an integer number (481740).

Almost surely, 210268740 is an apocalyptic number.

10268740 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 10268740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11561760).

10268740 is an abundant number, since it is smaller than the sum of its proper divisors (12854780).

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

10268740 is a wasteful number, since it uses less digits than its factorization.

10268740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 10268740 is about 3204.4874785213. The cubic root of 10268740 is about 217.3563767538.

The spelling of 10268740 in words is "ten million, two hundred sixty-eight thousand, seven hundred forty".

Divisors: 1 2 4 5 10 19 20 38 61 76 95 122 190 244 305 380 443 610 886 1159 1220 1772 2215 2318 4430 4636 5795 8417 8860 11590 16834 23180 27023 33668 42085 54046 84170 108092 135115 168340 270230 513437 540460 1026874 2053748 2567185 5134370 10268740