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64111320 = 2332571319103
BaseRepresentation
bin1111010010010…
…0001011011000
311110122012012100
43310210023120
5112403030240
610210043400
71405636320
oct364441330
9143565170
1064111320
1133209869
1219579560
13103893c0
14872c280
155965e30
hex3d242d8

64111320 has 384 divisors, whose sum is σ = 272563200. Its totient is φ = 12690432.

The previous prime is 64111253. The next prime is 64111321. The reversal of 64111320 is 2311146.

It is a happy number.

64111320 is a `hidden beast` number, since 641 + 1 + 1 + 3 + 20 = 666.

It is a super-2 number, since 2×641113202 = 8220522704284800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 64111293 and 64111302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64111321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 622389 + ... + 622491.

It is an arithmetic number, because the mean of its divisors is an integer number (709800).

Almost surely, 264111320 is an apocalyptic number.

64111320 is a gapful number since it is divisible by the number (60) 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 64111320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136281600).

64111320 is an abundant number, since it is smaller than the sum of its proper divisors (208451880).

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

64111320 is a wasteful number, since it uses less digits than its factorization.

64111320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 64111320 is about 8006.9544772029. The cubic root of 64111320 is about 400.2317823331.

Adding to 64111320 its reverse (2311146), we get a palindrome (66422466).

The spelling of 64111320 in words is "sixty-four million, one hundred eleven thousand, three hundred twenty".