Search a number
-
+
10682240 = 27516691
BaseRepresentation
bin101000101111…
…111110000000
3202002201021112
4220233332000
510213312430
61020542452
7156540362
oct50577600
922081245
1010682240
1160367a8
1236b1a28
1322a026a
1415c0d32
15e10195
hexa2ff80

10682240 has 32 divisors (see below), whose sum is σ = 25538760. Its totient is φ = 4272640.

The previous prime is 10682227. The next prime is 10682249. The reversal of 10682240 is 4228601.

10682240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×106822402 = 228220502835200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10682249) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7706 + ... + 8985.

Almost surely, 210682240 is an apocalyptic number.

10682240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10682240 is an abundant number, since it is smaller than the sum of its proper divisors (14856520).

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

10682240 is an equidigital number, since it uses as much as digits as its factorization.

10682240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16710 (or 16698 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 10682240 is about 3268.3696241398. The cubic root of 10682240 is about 220.2355603609.

The spelling of 10682240 in words is "ten million, six hundred eighty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 16691 33382 66764 83455 133528 166910 267056 333820 534112 667640 1068224 1335280 2136448 2670560 5341120 10682240