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6427040 = 25540169
BaseRepresentation
bin11000100001000110100000
3110002112020112
4120201012200
53121131130
6345430452
7105425504
oct30410640
913075215
106427040
11369a804
12219b428
1314404a9
14bd4304
1586e495
hex6211a0

6427040 has 24 divisors (see below), whose sum is σ = 15184260. Its totient is φ = 2570752.

The previous prime is 6427039. The next prime is 6427061. The reversal of 6427040 is 407246.

It can be written as a sum of positive squares in 2 ways, for example, as 6012304 + 414736 = 2452^2 + 644^2 .

It is a junction number, because it is equal to n+sod(n) for n = 6426997 and 6427015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19925 + ... + 20244.

Almost surely, 26427040 is an apocalyptic number.

It is an amenable number.

6427040 is an abundant number, since it is smaller than the sum of its proper divisors (8757220).

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

6427040 is a wasteful number, since it uses less digits than its factorization.

6427040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40184 (or 40176 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 6427040 is about 2535.1607444105. The cubic root of 6427040 is about 185.9246621318.

The spelling of 6427040 in words is "six million, four hundred twenty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 40169 80338 160676 200845 321352 401690 642704 803380 1285408 1606760 3213520 6427040