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64040868 = 223419101103
BaseRepresentation
bin1111010001001…
…0111110100100
311110111121120000
43310102332210
5112343301433
610204341300
71405224033
oct364227644
9143447500
1064040868
1133170941
1219544830
1310363308
14871071a
155950113
hex3d12fa4

64040868 has 120 divisors (see below), whose sum is σ = 179699520. Its totient is φ = 19828800.

The previous prime is 64040861. The next prime is 64040869. The reversal of 64040868 is 86804046.

64040868 is a `hidden beast` number, since 640 + 4 + 0 + 8 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (64040861) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 621705 + ... + 621807.

It is an arithmetic number, because the mean of its divisors is an integer number (1497496).

Almost surely, 264040868 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 64040868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89849760).

64040868 is an abundant number, since it is smaller than the sum of its proper divisors (115658652).

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

64040868 is a wasteful number, since it uses less digits than its factorization.

64040868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 64040868 is about 8002.5538423681. The cubic root of 64040868 is about 400.0851235503.

The spelling of 64040868 in words is "sixty-four million, forty thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 101 103 108 114 162 171 202 206 228 303 309 324 342 404 412 513 606 618 684 909 927 1026 1212 1236 1539 1818 1854 1919 1957 2052 2727 2781 3078 3636 3708 3838 3914 5454 5562 5757 5871 6156 7676 7828 8181 8343 10403 10908 11124 11514 11742 16362 16686 17271 17613 20806 23028 23484 31209 32724 33372 34542 35226 41612 51813 52839 62418 69084 70452 93627 103626 105678 124836 155439 158517 187254 197657 207252 211356 280881 310878 317034 374508 395314 561762 592971 621756 634068 790628 842643 1123524 1185942 1685286 1778913 2371884 3370572 3557826 5336739 7115652 10673478 16010217 21346956 32020434 64040868