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10640 = 245719
BaseRepresentation
bin10100110010000
3112121002
42212100
5320030
6121132
743010
oct24620
915532
1010640
117aa3
1261a8
134ac6
143c40
153245
hex2990

10640 has 40 divisors (see below), whose sum is σ = 29760. Its totient is φ = 3456.

The previous prime is 10639. The next prime is 10651. The reversal of 10640 is 4601.

10640 = T5 + T6 + ... + T39.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×106402 = 226419200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 551 + ... + 569.

It is an arithmetic number, because the mean of its divisors is an integer number (744).

210640 is an apocalyptic number.

10640 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 10640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14880).

10640 is an abundant number, since it is smaller than the sum of its proper divisors (19120).

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

10640 is a wasteful number, since it uses less digits than its factorization.

10640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 10640 is about 103.1503756658. The cubic root of 10640 is about 21.9944889777.

It can be divided in two parts, 10 and 640, that multiplied together give a square (6400 = 802).

The spelling of 10640 in words is "ten thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 70 76 80 95 112 133 140 152 190 266 280 304 380 532 560 665 760 1064 1330 1520 2128 2660 5320 10640