Search a number
-
+
10640641 = 118771103
BaseRepresentation
bin101000100101…
…110100000001
3202000121012211
4220211310001
510211000031
61020022121
7156305164
oct50456401
922017184
1010640641
116008520
123691941
13228734b
1415adadb
15e02bb1
hexa25d01

10640641 has 8 divisors (see below), whose sum is σ = 11631744. Its totient is φ = 9653520.

The previous prime is 10640639. The next prime is 10640647. The reversal of 10640641 is 14604601.

10640641 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10640641 - 21 = 10640639 is a prime.

It is a super-2 number, since 2×106406412 = 226446481781762, which contains 22 as substring.

It is a Duffinian number.

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 7 ways as a sum of consecutive naturals, for example, 9096 + ... + 10198.

It is an arithmetic number, because the mean of its divisors is an integer number (1453968).

Almost surely, 210640641 is an apocalyptic number.

10640641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10640641 is a deficient number, since it is larger than the sum of its proper divisors (991103).

10640641 is a wasteful number, since it uses less digits than its factorization.

10640641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1991.

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 10640641 is about 3261.9995401594. Note that the first 3 decimals coincide. The cubic root of 10640641 is about 219.9493065017.

Multiplying 10640641 by its product of nonzero digits (576), we get a palindrome (6129009216).

It can be divided in two parts, 10 and 640641, that multiplied together give a triangular number (6406410 = T3579).

The spelling of 10640641 in words is "ten million, six hundred forty thousand, six hundred forty-one".

Divisors: 1 11 877 1103 9647 12133 967331 10640641