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64123660 = 225171511249
BaseRepresentation
bin1111010010011…
…1001100001100
311110122211010101
43310213030030
5112403424120
610210220444
71406020306
oct364471414
9143584111
1064123660
1133218067
1219584724
1310391bc3
148732976
15596990a
hex3d2730c

64123660 has 48 divisors (see below), whose sum is σ = 143640000. Its totient is φ = 23961600.

The previous prime is 64123649. The next prime is 64123663. The reversal of 64123660 is 6632146.

64123660 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 2×641236602 = 8223687543591200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (64123663) 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 15 ways as a sum of consecutive naturals, for example, 50716 + ... + 51964.

It is an arithmetic number, because the mean of its divisors is an integer number (2992500).

Almost surely, 264123660 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 64123660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71820000).

64123660 is an abundant number, since it is smaller than the sum of its proper divisors (79516340).

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

64123660 is a wasteful number, since it uses less digits than its factorization.

64123660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426 (or 1424 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 64123660 is about 8007.7250202539. The cubic root of 64123660 is about 400.2574592513.

The spelling of 64123660 in words is "sixty-four million, one hundred twenty-three thousand, six hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 68 85 151 170 302 340 604 755 1249 1510 2498 2567 3020 4996 5134 6245 10268 12490 12835 21233 24980 25670 42466 51340 84932 106165 188599 212330 377198 424660 754396 942995 1885990 3206183 3771980 6412366 12824732 16030915 32061830 64123660