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64199720 = 2351329497
BaseRepresentation
bin1111010011100…
…1110000101000
311110210200110102
43310321300220
5112413342340
610212004532
71406455124
oct364716050
9143720412
1064199720
113326a222
1219600748
13103ba700
148752584
155982215
hex3d39c28

64199720 has 48 divisors (see below), whose sum is σ = 156432060. Its totient is φ = 23702016.

The previous prime is 64199719. The next prime is 64199747. The reversal of 64199720 is 2799146.

64199720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 103684 + 64096036 = 322^2 + 8006^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2012 + ... + 11508.

Almost surely, 264199720 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 64199720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78216030).

64199720 is an abundant number, since it is smaller than the sum of its proper divisors (92232340).

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

64199720 is a wasteful number, since it uses less digits than its factorization.

64199720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9534 (or 9517 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 38.

The square root of 64199720 is about 8012.4727768648. The cubic root of 64199720 is about 400.4156512688.

The spelling of 64199720 in words is "sixty-four million, one hundred ninety-nine thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 260 338 520 676 845 1352 1690 3380 6760 9497 18994 37988 47485 75976 94970 123461 189940 246922 379880 493844 617305 987688 1234610 1604993 2469220 3209986 4938440 6419972 8024965 12839944 16049930 32099860 64199720