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6750864 = 24345209
BaseRepresentation
bin11001110000001010010000
3110200222110000
4121300022100
53212011424
6400410000
7111244551
oct31601220
913628400
106750864
1138a102a
122316900
1315249c3
14c7a328
158d53c9
hex670290

6750864 has 50 divisors (see below), whose sum is σ = 19542710. Its totient is φ = 2249856.

The previous prime is 6750859. The next prime is 6750869. The reversal of 6750864 is 4680576.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6750859) and next prime (6750869).

It can be written as a sum of positive squares in only one way, i.e., 6718464 + 32400 = 2592^2 + 180^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6750869) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1309 + ... + 3900.

Almost surely, 26750864 is an apocalyptic number.

It is an amenable number.

6750864 is an abundant number, since it is smaller than the sum of its proper divisors (12791846).

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

6750864 is a wasteful number, since it uses less digits than its factorization.

6750864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5229 (or 5214 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 6750864 is about 2598.2424829103. The cubic root of 6750864 is about 188.9962206349.

It can be divided in two parts, 6750 and 864, that multiplied together give a cube (5832000 = 1803).

The spelling of 6750864 in words is "six million, seven hundred fifty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 5209 10418 15627 20836 31254 41672 46881 62508 83344 93762 125016 140643 187524 250032 281286 375048 421929 562572 750096 843858 1125144 1687716 2250288 3375432 6750864