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64240240 = 24553109139
BaseRepresentation
bin1111010100001…
…1101001110000
311110212202001011
43311003221300
5112421141430
610212520304
71410014221
oct365035160
9143782034
1064240240
1133297709
1219620094
1310402c9c
148763248
15598e22a
hex3d43a70

64240240 has 80 divisors (see below), whose sum is σ = 154677600. Its totient is φ = 24800256.

The previous prime is 64240223. The next prime is 64240247. The reversal of 64240240 is 4204246.

64240240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64240247) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 462091 + ... + 462229.

It is an arithmetic number, because the mean of its divisors is an integer number (1933470).

Almost surely, 264240240 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 64240240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77338800).

64240240 is an abundant number, since it is smaller than the sum of its proper divisors (90437360).

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

64240240 is a wasteful number, since it uses less digits than its factorization.

64240240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 64240240 is about 8015.0009357454. Note that the first 3 decimals coincide. The cubic root of 64240240 is about 400.4998750521.

Adding to 64240240 its reverse (4204246), we get a palindrome (68444486).

The spelling of 64240240 in words is "sixty-four million, two hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 109 139 212 218 265 278 424 436 530 545 556 695 848 872 1060 1090 1112 1390 1744 2120 2180 2224 2780 4240 4360 5560 5777 7367 8720 11120 11554 14734 15151 23108 28885 29468 30302 36835 46216 57770 58936 60604 73670 75755 92432 115540 117872 121208 147340 151510 231080 242416 294680 303020 462160 589360 606040 803003 1212080 1606006 3212012 4015015 6424024 8030030 12848048 16060060 32120120 64240240