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10640644 = 22722332
BaseRepresentation
bin101000100101…
…110100000100
3202000121012221
4220211310010
510211000034
61020022124
7156305200
oct50456404
922017187
1010640644
116008523
123691944
132287351
1415adb00
15e02bb4
hexa25d04

10640644 has 27 divisors (see below), whose sum is σ = 21754677. Its totient is φ = 4540704.

The previous prime is 10640639. The next prime is 10640647. The reversal of 10640644 is 44604601.

The square root of 10640644 is 3262.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2160900 + 8479744 = 1470^2 + 2912^2 .

It is a super-2 number, since 2×106406442 = 226446609469472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10640647) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 45552 + ... + 45784.

Almost surely, 210640644 is an apocalyptic number.

10640644 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10640644 is the 3262-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10640644

10640644 is an abundant number, since it is smaller than the sum of its proper divisors (11114033).

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

10640644 is an equidigital number, since it uses as much as digits as its factorization.

10640644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The cubic root of 10640644 is about 219.9493271723.

Multiplying 10640644 by its sum of digits (25), we get a square (266016100 = 163102).

Multiplying 10640644 by its product of nonzero digits (2304), we get a square (24516043776 = 1565762).

It can be divided in two parts, 106406 and 44, that multiplied together give a palindrome (4681864).

The spelling of 10640644 in words is "ten million, six hundred forty thousand, six hundred forty-four".

Divisors: 1 2 4 7 14 28 49 98 196 233 466 932 1631 3262 6524 11417 22834 45668 54289 108578 217156 380023 760046 1520092 2660161 5320322 10640644