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839987064 = 233373471601
BaseRepresentation
bin110010000100010…
…010111101111000
32011112120202122000
4302010102331320
53210014041224
6215203501000
726546525610
oct6204227570
92145522560
10839987064
113a1172794
121b5387760
13105043887
147d7b7a40
154db250c9
hex32112f78

839987064 has 128 divisors (see below), whose sum is σ = 2675980800. Its totient is φ = 239155200.

The previous prime is 839987063. The next prime is 839987077. The reversal of 839987064 is 460789938.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 839987064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (839987063) 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, 523864 + ... + 525464.

It is an arithmetic number, because the mean of its divisors is an integer number (20906100).

Almost surely, 2839987064 is an apocalyptic number.

839987064 is a gapful number since it is divisible by the number (84) 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 839987064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337990400).

839987064 is an abundant number, since it is smaller than the sum of its proper divisors (1835993736).

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

839987064 is a wasteful number, since it uses less digits than its factorization.

839987064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1970 (or 1960 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 839987064 is about 28982.5303243178. The cubic root of 839987064 is about 943.5339525393.

The spelling of 839987064 in words is "eight hundred thirty-nine million, nine hundred eighty-seven thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 347 378 504 694 756 1041 1388 1512 1601 2082 2429 2776 3123 3202 4164 4803 4858 6246 6404 7287 8328 9369 9606 9716 11207 12492 12808 14409 14574 18738 19212 19432 21861 22414 24984 28818 29148 33621 37476 38424 43227 43722 44828 57636 58296 65583 67242 74952 86454 87444 89656 100863 115272 131166 134484 172908 174888 201726 262332 268968 302589 345816 403452 524664 555547 605178 806904 1111094 1210356 1666641 2222188 2420712 3333282 3888829 4444376 4999923 6666564 7777658 9999846 11666487 13333128 14999769 15555316 19999692 23332974 29999538 31110632 34999461 39999384 46665948 59999076 69998922 93331896 104998383 119998152 139997844 209996766 279995688 419993532 839987064