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664125540 = 2235134319801
BaseRepresentation
bin100111100101011…
…100000001100100
31201021200001222020
4213211130001210
52330004004130
6145522303140
722312655031
oct4745340144
91637601866
10664125540
11310977391
121664b7ab0
13a778b5c0
14642ba388
153d487e10
hex2795c064

664125540 has 96 divisors (see below), whose sum is σ = 2049269376. Its totient is φ = 159667200.

The previous prime is 664125533. The next prime is 664125547. The reversal of 664125540 is 45521466.

664125540 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (664125533) and next prime (664125547).

It is not an unprimeable number, because it can be changed into a prime (664125547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23640 + ... + 43440.

It is an arithmetic number, because the mean of its divisors is an integer number (21346556).

Almost surely, 2664125540 is an apocalyptic number.

664125540 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 664125540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024634688).

664125540 is an abundant number, since it is smaller than the sum of its proper divisors (1385143836).

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

664125540 is a wasteful number, since it uses less digits than its factorization.

664125540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19869 (or 19867 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 664125540 is about 25770.6332867471. The cubic root of 664125540 is about 872.4691121869.

The spelling of 664125540 in words is "six hundred sixty-four million, one hundred twenty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 43 52 60 65 78 86 129 130 156 172 195 215 258 260 390 430 516 559 645 780 860 1118 1290 1677 2236 2580 2795 3354 5590 6708 8385 11180 16770 19801 33540 39602 59403 79204 99005 118806 198010 237612 257413 297015 396020 514826 594030 772239 851443 1029652 1188060 1287065 1544478 1702886 2554329 2574130 3088956 3405772 3861195 4257215 5108658 5148260 7722390 8514430 10217316 11068759 12771645 15444780 17028860 22137518 25543290 33206277 44275036 51086580 55343795 66412554 110687590 132825108 166031385 221375180 332062770 664125540