Search a number
-
+
64782240 = 2535172467
BaseRepresentation
bin1111011100011…
…1111110100000
311111220021112020
43313013332200
5113041012430
610232301440
71414432335
oct367077640
9144807466
1064782240
1133627946
1219841880
13105628b3
14886498c
155a49b10
hex3dc7fa0

64782240 has 144 divisors (see below), whose sum is σ = 217238112. Its totient is φ = 16224256.

The previous prime is 64782203. The next prime is 64782241. The reversal of 64782240 is 4228746.

It is not an unprimeable number, because it can be changed into a prime (64782241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138487 + ... + 138953.

It is an arithmetic number, because the mean of its divisors is an integer number (1508598).

Almost surely, 264782240 is an apocalyptic number.

64782240 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 64782240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108619056).

64782240 is an abundant number, since it is smaller than the sum of its proper divisors (152455872).

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

64782240 is a wasteful number, since it uses less digits than its factorization.

64782240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 64782240 is about 8048.7415165354. The cubic root of 64782240 is about 401.6230718532.

The spelling of 64782240 in words is "sixty-four million, seven hundred eighty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 120 136 160 170 204 240 255 272 289 340 408 467 480 510 544 578 680 816 867 934 1020 1156 1360 1401 1445 1632 1734 1868 2040 2312 2335 2720 2802 2890 3468 3736 4080 4335 4624 4670 5604 5780 6936 7005 7472 7939 8160 8670 9248 9340 11208 11560 13872 14010 14944 15878 17340 18680 22416 23120 23817 27744 28020 31756 34680 37360 39695 44832 46240 47634 56040 63512 69360 74720 79390 95268 112080 119085 127024 134963 138720 158780 190536 224160 238170 254048 269926 317560 381072 404889 476340 539852 635120 674815 762144 809778 952680 1079704 1270240 1349630 1619556 1905360 2024445 2159408 2699260 3239112 3810720 4048890 4318816 5398520 6478224 8097780 10797040 12956448 16195560 21594080 32391120 64782240