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64023820 = 22572291997
BaseRepresentation
bin1111010000111…
…0110100001100
311110110202011121
43310032310030
5112342230240
610204130324
71405123240
oct364166414
9143422147
1064023820
113315a053
12195369a4
1310358623
148708420
15594a04a
hex3d0ed0c

64023820 has 48 divisors (see below), whose sum is σ = 154405440. Its totient is φ = 21844224.

The previous prime is 64023803. The next prime is 64023821. The reversal of 64023820 is 2832046.

It is a happy number.

64023820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (64023821) 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, 31062 + ... + 33058.

It is an arithmetic number, because the mean of its divisors is an integer number (3216780).

Almost surely, 264023820 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 64023820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77202720).

64023820 is an abundant number, since it is smaller than the sum of its proper divisors (90381620).

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

64023820 is a wasteful number, since it uses less digits than its factorization.

64023820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2242 (or 2240 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 64023820 is about 8001.4886115022. The cubic root of 64023820 is about 400.0496188447.

Adding to 64023820 its reverse (2832046), we get a palindrome (66855866).

The spelling of 64023820 in words is "sixty-four million, twenty-three thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 229 458 916 1145 1603 1997 2290 3206 3994 4580 6412 7988 8015 9985 13979 16030 19970 27958 32060 39940 55916 69895 139790 279580 457313 914626 1829252 2286565 3201191 4573130 6402382 9146260 12804764 16005955 32011910 64023820