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2085390684 = 223413895563
BaseRepresentation
bin111110001001100…
…1000100101011100
312101100000211020000
41330103020211130
513232330000214
6542533054300
7102451346136
oct17423104534
95340024200
102085390684
1198016a983
124a2487390
132730742b0
1415ad66056
15c312d809
hex7c4c895c

2085390684 has 120 divisors (see below), whose sum is σ = 5938012080. Its totient is φ = 634334976.

The previous prime is 2085390683. The next prime is 2085390709. The reversal of 2085390684 is 4860935802.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2085390683) 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, 372087 + ... + 377649.

It is an arithmetic number, because the mean of its divisors is an integer number (49483434).

Almost surely, 22085390684 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 2085390684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2969006040).

2085390684 is an abundant number, since it is smaller than the sum of its proper divisors (3852621396).

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

2085390684 is a wasteful number, since it uses less digits than its factorization.

2085390684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5681 (or 5670 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 2085390684 is about 45666.0780448683. The cubic root of 2085390684 is about 1277.6026669327.

The spelling of 2085390684 in words is "two billion, eighty-five million, three hundred ninety thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 89 108 117 156 162 178 234 267 324 351 356 468 534 702 801 1053 1068 1157 1404 1602 2106 2314 2403 3204 3471 4212 4628 4806 5563 6942 7209 9612 10413 11126 13884 14418 16689 20826 22252 28836 31239 33378 41652 50067 62478 66756 72319 93717 100134 124956 144638 150201 187434 200268 216957 289276 300402 374868 433914 450603 495107 600804 650871 867828 901206 990214 1301742 1485321 1802412 1952613 1980428 2603484 2970642 3905226 4455963 5857839 5941284 6436391 7810452 8911926 11715678 12872782 13367889 17823852 19309173 23431356 25745564 26735778 38618346 40103667 53471556 57927519 77236692 80207334 115855038 160414668 173782557 231710076 347565114 521347671 695130228 1042695342 2085390684