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6438040 = 235722993
BaseRepresentation
bin11000100011110010011000
3110010002022221
4120203302120
53122004130
6345553424
7105502540
oct30436230
913102287
106438040
1136a7aa4
1221a5874
1314454bb
14bd8320
1587287a
hex623c98

6438040 has 32 divisors (see below), whose sum is σ = 16555680. Its totient is φ = 2207232.

The previous prime is 6438031. The next prime is 6438059. The reversal of 6438040 is 408346.

It is a junction number, because it is equal to n+sod(n) for n = 6437996 and 6438014.

It is a congruent number.

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, 11217 + ... + 11776.

It is an arithmetic number, because the mean of its divisors is an integer number (517365).

Almost surely, 26438040 is an apocalyptic number.

It is an amenable number.

6438040 is an abundant number, since it is smaller than the sum of its proper divisors (10117640).

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

6438040 is a wasteful number, since it uses less digits than its factorization.

6438040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23011 (or 23007 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 6438040 is about 2537.3293046036. The cubic root of 6438040 is about 186.0306728619.

It can be divided in two parts, 643 and 8040, that multiplied together give a triangular number (5169720 = T3215).

The spelling of 6438040 in words is "six million, four hundred thirty-eight thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 22993 45986 91972 114965 160951 183944 229930 321902 459860 643804 804755 919720 1287608 1609510 3219020 6438040