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6740064 = 253329269
BaseRepresentation
bin11001101101100001100000
3110200102122000
4121231201200
53211140224
6400244000
7111201222
oct31554140
913612560
106740064
113893a01
122310600
13151cb06
14c76412
158d20c9
hex66d860

6740064 has 96 divisors (see below), whose sum is σ = 20412000. Its totient is φ = 2161152.

The previous prime is 6740029. The next prime is 6740077. The reversal of 6740064 is 4600476.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24922 + ... + 25190.

It is an arithmetic number, because the mean of its divisors is an integer number (212625).

Almost surely, 26740064 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 6740064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10206000).

6740064 is an abundant number, since it is smaller than the sum of its proper divisors (13671936).

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

6740064 is a wasteful number, since it uses less digits than its factorization.

6740064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 6740064 is about 2596.1633230596. The cubic root of 6740064 is about 188.8953817581.

The spelling of 6740064 in words is "six million, seven hundred forty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 72 87 96 108 116 144 174 216 232 261 269 288 348 432 464 522 538 696 783 807 864 928 1044 1076 1392 1566 1614 2088 2152 2421 2784 3132 3228 4176 4304 4842 6264 6456 7263 7801 8352 8608 9684 12528 12912 14526 15602 19368 23403 25056 25824 29052 31204 38736 46806 58104 62408 70209 77472 93612 116208 124816 140418 187224 210627 232416 249632 280836 374448 421254 561672 748896 842508 1123344 1685016 2246688 3370032 6740064