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64785840 = 243573787
BaseRepresentation
bin1111011100100…
…0110110110000
311111220110110120
43313020312300
5113041121330
610232330240
71414446000
oct367106660
9144813416
1064785840
113362a619
1219843980
1310564422
148866000
155a4ac10
hex3dc8db0

64785840 has 160 divisors (see below), whose sum is σ = 234508800. Its totient is φ = 14789376.

The previous prime is 64785823. The next prime is 64785841. The reversal of 64785840 is 4858746.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 64785792 and 64785801.

It is not an unprimeable number, because it can be changed into a prime (64785841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81927 + ... + 82713.

It is an arithmetic number, because the mean of its divisors is an integer number (1465680).

Almost surely, 264785840 is an apocalyptic number.

64785840 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 64785840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117254400).

64785840 is an abundant number, since it is smaller than the sum of its proper divisors (169722960).

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

64785840 is a wasteful number, since it uses less digits than its factorization.

64785840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 64785840 is about 8048.9651508750. The cubic root of 64785840 is about 401.6305112187.

The spelling of 64785840 in words is "sixty-four million, seven hundred eighty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 49 56 60 70 80 84 98 105 112 120 140 147 168 196 210 240 245 280 294 336 343 392 420 490 560 588 686 735 784 787 840 980 1029 1176 1372 1470 1574 1680 1715 1960 2058 2352 2361 2744 2940 3148 3430 3920 3935 4116 4722 5145 5488 5509 5880 6296 6860 7870 8232 9444 10290 11018 11760 11805 12592 13720 15740 16464 16527 18888 20580 22036 23610 27440 27545 31480 33054 37776 38563 41160 44072 47220 55090 62960 66108 77126 82320 82635 88144 94440 110180 115689 132216 154252 165270 188880 192815 220360 231378 264432 269941 308504 330540 385630 440720 462756 539882 578445 617008 661080 771260 809823 925512 1079764 1156890 1322160 1349705 1542520 1619646 1851024 2159528 2313780 2699410 3085040 3239292 4049115 4319056 4627560 5398820 6478584 8098230 9255120 10797640 12957168 16196460 21595280 32392920 64785840