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64200704 = 21317461
BaseRepresentation
bin1111010011101…
…0000000000000
311110210201210212
43310322000000
5112413410304
610212013252
71406461031
oct364720000
9143721725
1064200704
113326aa37
1219601228
13103baca9
148752a88
15598266e
hex3d3a000

64200704 has 56 divisors (see below), whose sum is σ = 136241028. Its totient is φ = 30146560.

The previous prime is 64200691. The next prime is 64200707. The reversal of 64200704 is 40700246.

It can be written as a sum of positive squares in 2 ways, for example, as 64000000 + 200704 = 8000^2 + 448^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 64200704.

It is not an unprimeable number, because it can be changed into a prime (64200707) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 139034 + ... + 139494.

Almost surely, 264200704 is an apocalyptic number.

64200704 is a gapful number since it is divisible by the number (64) 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 64200704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68120514).

64200704 is an abundant number, since it is smaller than the sum of its proper divisors (72040324).

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

64200704 is an equidigital number, since it uses as much as digits as its factorization.

64200704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 64200704 is about 8012.5341808943. The cubic root of 64200704 is about 400.4176970045.

It can be divided in two parts, 64 and 200704, that multiplied together give a square (12845056 = 35842).

The spelling of 64200704 in words is "sixty-four million, two hundred thousand, seven hundred four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 461 512 544 922 1024 1088 1844 2048 2176 3688 4096 4352 7376 7837 8192 8704 14752 15674 17408 29504 31348 34816 59008 62696 69632 118016 125392 139264 236032 250784 472064 501568 944128 1003136 1888256 2006272 3776512 4012544 8025088 16050176 32100352 64200704