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64040400 = 24325217789
BaseRepresentation
bin1111010001001…
…0110111010000
311110111120220200
43310102313100
5112343243100
610204335200
71405222464
oct364226720
9143446820
1064040400
1133170556
1219544500
1310363038
1487104a4
15594ee00
hex3d12dd0

64040400 has 90 divisors (see below), whose sum is σ = 222250470. Its totient is φ = 17076480.

The previous prime is 64040359. The next prime is 64040477. The reversal of 64040400 is 404046.

64040400 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 3 ways, for example, as 18558864 + 45481536 = 4308^2 + 6744^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 17 ways as a sum of consecutive naturals, for example, 5295 + ... + 12494.

Almost surely, 264040400 is an apocalyptic number.

64040400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

64040400 is an abundant number, since it is smaller than the sum of its proper divisors (158210070).

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

64040400 is a wasteful number, since it uses less digits than its factorization.

64040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17813 (or 17799 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 64040400 is about 8002.5246016492. The cubic root of 64040400 is about 400.0841489628.

Adding to 64040400 its reverse (404046), we get a palindrome (64444446).

The spelling of 64040400 in words is "sixty-four million, forty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 144 150 180 200 225 240 300 360 400 450 600 720 900 1200 1800 3600 17789 35578 53367 71156 88945 106734 142312 160101 177890 213468 266835 284624 320202 355780 426936 444725 533670 640404 711560 800505 853872 889450 1067340 1280808 1334175 1423120 1601010 1778900 2134680 2561616 2668350 3202020 3557800 4002525 4269360 5336700 6404040 7115600 8005050 10673400 12808080 16010100 21346800 32020200 64040400