Search a number
-
+
64782080 = 2851143107
BaseRepresentation
bin1111011100011…
…1111100000000
311111220021022022
43313013330000
5113041011310
610232301012
71414432016
oct367077400
9144807268
1064782080
1133627810
1219841768
13105627bc
1488648b6
155a49a55
hex3dc7f00

64782080 has 144 divisors (see below), whose sum is σ = 174835584. Its totient is φ = 22794240.

The previous prime is 64782073. The next prime is 64782083. The reversal of 64782080 is 8028746.

It is a self number, because there is not a number n which added to its sum of digits gives 64782080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64782083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 605387 + ... + 605493.

It is an arithmetic number, because the mean of its divisors is an integer number (1214136).

Almost surely, 264782080 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 64782080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87417792).

64782080 is an abundant number, since it is smaller than the sum of its proper divisors (110053504).

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

64782080 is a wasteful number, since it uses less digits than its factorization.

64782080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 64782080 is about 8048.7315770872. The cubic root of 64782080 is about 401.6227412084.

It can be divided in two parts, 6478 and 2080, that added together give a palindrome (8558).

The spelling of 64782080 in words is "sixty-four million, seven hundred eighty-two thousand, eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 43 44 55 64 80 86 88 107 110 128 160 172 176 214 215 220 256 320 344 352 428 430 440 473 535 640 688 704 856 860 880 946 1070 1177 1280 1376 1408 1712 1720 1760 1892 2140 2354 2365 2752 2816 3424 3440 3520 3784 4280 4601 4708 4730 5504 5885 6848 6880 7040 7568 8560 9202 9416 9460 11008 11770 13696 13760 14080 15136 17120 18404 18832 18920 23005 23540 27392 27520 30272 34240 36808 37664 37840 46010 47080 50611 55040 60544 68480 73616 75328 75680 92020 94160 101222 121088 136960 147232 150656 151360 184040 188320 202444 253055 294464 301312 302720 368080 376640 404888 506110 588928 605440 736160 753280 809776 1012220 1177856 1472320 1506560 1619552 2024440 2944640 3239104 4048880 5889280 6478208 8097760 12956416 16195520 32391040 64782080