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64319640 = 23357116961
BaseRepresentation
bin1111010101011…
…1000010011000
311111000202221220
43311113002120
5112431212030
610214332040
71410464550
oct365270230
9144022856
1064319640
1133341330
121965a020
1310430178
148784160
1559a7a10
hex3d57098

64319640 has 128 divisors (see below), whose sum is σ = 240606720. Its totient is φ = 13363200.

The previous prime is 64319639. The next prime is 64319669. The reversal of 64319640 is 4691346.

64319640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 5760 + ... + 12720.

It is an arithmetic number, because the mean of its divisors is an integer number (1879740).

Almost surely, 264319640 is an apocalyptic number.

64319640 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 64319640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120303360).

64319640 is an abundant number, since it is smaller than the sum of its proper divisors (176287080).

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

64319640 is a wasteful number, since it uses less digits than its factorization.

64319640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6993 (or 6989 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 64319640 is about 8019.9526183139. The cubic root of 64319640 is about 400.6648111200.

The spelling of 64319640 in words is "sixty-four million, three hundred nineteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 231 264 280 308 330 385 420 440 462 616 660 770 840 924 1155 1320 1540 1848 2310 3080 4620 6961 9240 13922 20883 27844 34805 41766 48727 55688 69610 76571 83532 97454 104415 139220 146181 153142 167064 194908 208830 229713 243635 278440 292362 306284 382855 389816 417660 459426 487270 535997 584724 612568 730905 765710 835320 918852 974540 1071994 1148565 1169448 1461810 1531420 1607991 1837704 1949080 2143988 2297130 2679985 2923620 3062840 3215982 4287976 4594260 5359970 5847240 6431964 8039955 9188520 10719940 12863928 16079910 21439880 32159820 64319640