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10257714 = 232312593
BaseRepresentation
bin100111001000…
…010100110010
3201022010221100
4213020110302
510111221324
61003505230
7153121605
oct47102462
921263840
1010257714
115876855
123528216
132181c6c
14151033c
15d794c9
hex9c8532

10257714 has 36 divisors (see below), whose sum is σ = 23003838. Its totient is φ = 3303360.

The previous prime is 10257697. The next prime is 10257719. The reversal of 10257714 is 41775201.

It can be written as a sum of positive squares in only one way, i.e., 8311689 + 1946025 = 2883^2 + 1395^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10257719) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 17002 + ... + 17594.

Almost surely, 210257714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10257714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11501919).

10257714 is an abundant number, since it is smaller than the sum of its proper divisors (12746124).

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

10257714 is a wasteful number, since it uses less digits than its factorization.

10257714 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 10257714 is about 3202.7666165364. The cubic root of 10257714 is about 217.2785538437.

The spelling of 10257714 in words is "ten million, two hundred fifty-seven thousand, seven hundred fourteen".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 558 593 961 1186 1779 1922 2883 3558 5337 5766 8649 10674 17298 18383 36766 55149 110298 165447 330894 569873 1139746 1709619 3419238 5128857 10257714