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10512680 = 235892953
BaseRepresentation
bin101000000110…
…100100101000
3201210002200112
4220012210220
510142401210
61013153452
7155233133
oct50064450
921702615
1010512680
115a30372
12362b888
132241029
14157921a
15dc9d05
hexa06928

10512680 has 32 divisors (see below), whose sum is σ = 23927400. Its totient is φ = 4156416.

The previous prime is 10512673. The next prime is 10512701. The reversal of 10512680 is 8621501.

It can be written as a sum of positive squares in 4 ways, for example, as 8444836 + 2067844 = 2906^2 + 1438^2 .

It is a super-2 number, since 2×105126802 = 221032881564800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2084 + ... + 5036.

Almost surely, 210512680 is an apocalyptic number.

10512680 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 10512680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11963700).

10512680 is an abundant number, since it is smaller than the sum of its proper divisors (13414720).

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

10512680 is a wasteful number, since it uses less digits than its factorization.

10512680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3053 (or 3049 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 10512680 is about 3242.3263253411. The cubic root of 10512680 is about 219.0640680479.

The spelling of 10512680 in words is "ten million, five hundred twelve thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 89 178 356 445 712 890 1780 2953 3560 5906 11812 14765 23624 29530 59060 118120 262817 525634 1051268 1314085 2102536 2628170 5256340 10512680