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6164064 = 2532171259
BaseRepresentation
bin10111100000111001100000
3102121011111200
4113200321200
53034222224
6340041200
7103252014
oct27407140
912534450
106164064
113530175
122093200
13137a89a
14b66544
1581b5c9
hex5e0e60

6164064 has 72 divisors (see below), whose sum is σ = 18574920. Its totient is φ = 1932288.

The previous prime is 6164033. The next prime is 6164077. The reversal of 6164064 is 4604616.

6164064 is a `hidden beast` number, since 616 + 40 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4267 + ... + 5525.

It is an arithmetic number, because the mean of its divisors is an integer number (257985).

Almost surely, 26164064 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 6164064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9287460).

6164064 is an abundant number, since it is smaller than the sum of its proper divisors (12410856).

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

6164064 is a wasteful number, since it uses less digits than its factorization.

6164064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292 (or 1281 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 6164064 is about 2482.7533103391. The cubic root of 6164064 is about 183.3534332416.

The spelling of 6164064 in words is "six million, one hundred sixty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1259 1632 2448 2518 3777 4896 5036 7554 10072 11331 15108 20144 21403 22662 30216 40288 42806 45324 60432 64209 85612 90648 120864 128418 171224 181296 192627 256836 342448 362592 385254 513672 684896 770508 1027344 1541016 2054688 3082032 6164064