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64501400 = 23521761311
BaseRepresentation
bin1111011000001…
…1011010011000
311111101000021202
43312003122120
5113003021100
610222253332
71412152505
oct366033230
9144330252
1064501400
1133455947
1219727248
1310494b12
1487d04ac
1559e17d5
hex3d83698

64501400 has 96 divisors (see below), whose sum is σ = 161909280. Its totient is φ = 23808000.

The previous prime is 64501391. The next prime is 64501403. The reversal of 64501400 is 410546.

It is a happy number.

64501400 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 (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64501403) 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 23 ways as a sum of consecutive naturals, for example, 207245 + ... + 207555.

It is an arithmetic number, because the mean of its divisors is an integer number (1686555).

Almost surely, 264501400 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 64501400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80954640).

64501400 is an abundant number, since it is smaller than the sum of its proper divisors (97407880).

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

64501400 is a wasteful number, since it uses less digits than its factorization.

64501400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 64501400 is about 8031.2763618244. The cubic root of 64501400 is about 401.0418672588.

Adding to 64501400 its reverse (410546), we get a palindrome (64911946).

The spelling of 64501400 in words is "sixty-four million, five hundred one thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 61 68 85 100 122 136 170 200 244 305 311 340 425 488 610 622 680 850 1037 1220 1244 1525 1555 1700 2074 2440 2488 3050 3110 3400 4148 5185 5287 6100 6220 7775 8296 10370 10574 12200 12440 15550 18971 20740 21148 25925 26435 31100 37942 41480 42296 51850 52870 62200 75884 94855 103700 105740 132175 151768 189710 207400 211480 264350 322507 379420 474275 528700 645014 758840 948550 1057400 1290028 1612535 1897100 2580056 3225070 3794200 6450140 8062675 12900280 16125350 32250700 64501400