Search a number
-
+
10648040 = 2351320477
BaseRepresentation
bin101000100111…
…100111101000
3202000222100212
4220213213220
510211214130
61020120252
7156335564
oct50474750
922028325
1010648040
116013037
123696088
13228a820
1415b26a4
15e04e95
hexa279e8

10648040 has 32 divisors (see below), whose sum is σ = 25802280. Its totient is φ = 3931392.

The previous prime is 10648021. The next prime is 10648063. The reversal of 10648040 is 4084601.

It is a happy number.

10648040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8145316 + 2502724 = 2854^2 + 1582^2 .

It is a super-2 number, since 2×106480402 = 226761511683200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10647997 and 10648015.

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, 9719 + ... + 10758.

Almost surely, 210648040 is an apocalyptic number.

10648040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10648040 is an abundant number, since it is smaller than the sum of its proper divisors (15154240).

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

10648040 is a wasteful number, since it uses less digits than its factorization.

10648040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20501 (or 20497 counting only the distinct ones).

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

The square root of 10648040 is about 3263.1334634060. The cubic root of 10648040 is about 220.0002754817. Note that the first 3 decimals are identical.

The spelling of 10648040 in words is "ten million, six hundred forty-eight thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 20477 40954 81908 102385 163816 204770 266201 409540 532402 819080 1064804 1331005 2129608 2662010 5324020 10648040