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668764728 = 233312724379
BaseRepresentation
bin100111110111001…
…000101000111000
31201121101202202000
4213313020220320
52332200432403
6150205541000
722400256252
oct4767105070
91647352660
10668764728
11313555925
12167b74760
13a8724098
1464b66cd2
153daa27a3
hex27dc8a38

668764728 has 64 divisors (see below), whose sum is σ = 1872384000. Its totient is φ = 221157216.

The previous prime is 668764703. The next prime is 668764729. The reversal of 668764728 is 827467866.

668764728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6687647282 = 894492522833827968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (668764729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15243 + ... + 39621.

It is an arithmetic number, because the mean of its divisors is an integer number (29256000).

Almost surely, 2668764728 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 668764728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936192000).

668764728 is an abundant number, since it is smaller than the sum of its proper divisors (1203619272).

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

668764728 is a wasteful number, since it uses less digits than its factorization.

668764728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24521 (or 24511 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The square root of 668764728 is about 25860.4858423039. The cubic root of 668764728 is about 874.4959177659.

The spelling of 668764728 in words is "six hundred sixty-eight million, seven hundred sixty-four thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 127 216 254 381 508 762 1016 1143 1524 2286 3048 3429 4572 6858 9144 13716 24379 27432 48758 73137 97516 146274 195032 219411 292548 438822 585096 658233 877644 1316466 1755288 2632932 3096133 5265864 6192266 9288399 12384532 18576798 24769064 27865197 37153596 55730394 74307192 83595591 111460788 167191182 222921576 334382364 668764728