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64300140 = 223252111693
BaseRepresentation
bin1111010101001…
…0010001101100
311110222210012200
43311102101230
5112430101030
610214101500
71410353652
oct365222154
9143883180
1064300140
1133328713
121964a890
1310424328
14877add2
1559a1d60
hex3d5246c

64300140 has 72 divisors (see below), whose sum is σ = 196083888. Its totient is φ = 17055360.

The previous prime is 64300139. The next prime is 64300153. The reversal of 64300140 is 4100346.

64300140 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 (18).

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 23 ways as a sum of consecutive naturals, for example, 37134 + ... + 38826.

Almost surely, 264300140 is an apocalyptic number.

64300140 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 64300140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98041944).

64300140 is an abundant number, since it is smaller than the sum of its proper divisors (131783748).

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

64300140 is a wasteful number, since it uses less digits than its factorization.

64300140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1919 (or 1914 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 64300140 is about 8018.7368082510. The cubic root of 64300140 is about 400.6243167313.

Adding to 64300140 its reverse (4100346), we get a palindrome (68400486).

The spelling of 64300140 in words is "sixty-four million, three hundred thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 211 422 633 844 1055 1266 1693 1899 2110 2532 3165 3386 3798 4220 5079 6330 6772 7596 8465 9495 10158 12660 15237 16930 18990 20316 25395 30474 33860 37980 50790 60948 76185 101580 152370 304740 357223 714446 1071669 1428892 1786115 2143338 3215007 3572230 4286676 5358345 6430014 7144460 10716690 12860028 16075035 21433380 32150070 64300140