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64114640 = 2451674799
BaseRepresentation
bin1111010010010…
…0111111010000
311110122100202022
43310210333100
5112403132030
610210111012
71405652102
oct364447720
9143570668
1064114640
1133211307
121957b468
131038aa75
14872d572
155966de5
hex3d24fd0

64114640 has 40 divisors (see below), whose sum is σ = 149990400. Its totient is φ = 25486976.

The previous prime is 64114619. The next prime is 64114643. The reversal of 64114640 is 4641146.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×641146402 = 8221374124659200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64114643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10961 + ... + 15759.

It is an arithmetic number, because the mean of its divisors is an integer number (3749760).

Almost surely, 264114640 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 64114640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74995200).

64114640 is an abundant number, since it is smaller than the sum of its proper divisors (85875760).

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

64114640 is a wasteful number, since it uses less digits than its factorization.

64114640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4979 (or 4973 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 64114640 is about 8007.1617942939. The cubic root of 64114640 is about 400.2386908717.

Adding to 64114640 its reverse (4641146), we get a palindrome (68755786).

The spelling of 64114640 in words is "sixty-four million, one hundred fourteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 167 334 668 835 1336 1670 2672 3340 4799 6680 9598 13360 19196 23995 38392 47990 76784 95980 191960 383920 801433 1602866 3205732 4007165 6411464 8014330 12822928 16028660 32057320 64114640