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64109700 = 22325271233
BaseRepresentation
bin1111010010001…
…1110010000100
311110122002222100
43310203302010
5112403002300
610210032100
71405631514
oct364436204
9143562870
1064109700
1133208626
1219578630
1310388745
14872b844
155965700
hex3d23c84

64109700 has 54 divisors (see below), whose sum is σ = 200951114. Its totient is φ = 17095680.

The previous prime is 64109653. The next prime is 64109707. The reversal of 64109700 is 790146.

64109700 is digitally balanced in base 9, 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 8398404 + 55711296 = 2898^2 + 7464^2 .

It is a super-2 number, since 2×641097002 = 8220107268180000, which contains 22 as substring.

64109700 is strictly pandigital in base 9.

It is not an unprimeable number, because it can be changed into a prime (64109707) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 34717 + ... + 36516.

Almost surely, 264109700 is an apocalyptic number.

64109700 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

64109700 is an abundant number, since it is smaller than the sum of its proper divisors (136841414).

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

64109700 is a wasteful number, since it uses less digits than its factorization.

64109700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71253 (or 71243 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 64109700 is about 8006.8533145050. The cubic root of 64109700 is about 400.2284112126.

Adding to 64109700 its reverse (790146), we get a palindrome (64899846).

It can be divided in two parts, 6410 and 9700, that added together give a triangular number (16110 = T179).

The spelling of 64109700 in words is "sixty-four million, one hundred nine thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 71233 142466 213699 284932 356165 427398 641097 712330 854796 1068495 1282194 1424660 1780825 2136990 2564388 3205485 3561650 4273980 5342475 6410970 7123300 10684950 12821940 16027425 21369900 32054850 64109700