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6407681 = 72130769
BaseRepresentation
bin11000011100011000000001
3110001112200112
4120130120001
53120021211
6345201105
7105315200
oct30343001
913045615
106407681
113687205
122190195
131434737
14bcb237
1586888b
hex61c601

6407681 has 6 divisors (see below), whose sum is σ = 7453890. Its totient is φ = 5492256.

The previous prime is 6407671. The next prime is 6407701. The reversal of 6407681 is 1867046.

It can be written as a sum of positive squares in only one way, i.e., 4036081 + 2371600 = 2009^2 + 1540^2 .

It is not a de Polignac number, because 6407681 - 210 = 6406657 is a prime.

It is a super-2 number, since 2×64076812 = 82116751595522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6407671) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 65336 + ... + 65433.

It is an arithmetic number, because the mean of its divisors is an integer number (1242315).

Almost surely, 26407681 is an apocalyptic number.

It is an amenable number.

6407681 is a deficient number, since it is larger than the sum of its proper divisors (1046209).

6407681 is a wasteful number, since it uses less digits than its factorization.

6407681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130783 (or 130776 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 6407681 is about 2531.3397638405. The cubic root of 6407681 is about 185.7377987417.

The spelling of 6407681 in words is "six million, four hundred seven thousand, six hundred eighty-one".

Divisors: 1 7 49 130769 915383 6407681