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6890064 = 24323792
BaseRepresentation
bin11010010010001001010000
3110222001101120
4122102021100
53230440224
6403402240
7112364436
oct32221120
913861346
106890064
113986675
122383380
13157317c
14cb4d56
15911779
hex692250

6890064 has 60 divisors (see below), whose sum is σ = 18811296. Its totient is φ = 2169024.

The previous prime is 6890063. The next prime is 6890077. The reversal of 6890064 is 4600986.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6890063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87177 + ... + 87255.

Almost surely, 26890064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6890064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9405648).

6890064 is an abundant number, since it is smaller than the sum of its proper divisors (11921232).

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

6890064 is a wasteful number, since it uses less digits than its factorization.

6890064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 6890064 is about 2624.8931406821. The cubic root of 6890064 is about 190.2864009416.

The spelling of 6890064 in words is "six million, eight hundred ninety thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 79 92 138 158 184 237 276 316 368 474 552 632 948 1104 1264 1817 1896 3634 3792 5451 6241 7268 10902 12482 14536 18723 21804 24964 29072 37446 43608 49928 74892 87216 99856 143543 149784 287086 299568 430629 574172 861258 1148344 1722516 2296688 3445032 6890064