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685980090 = 234517311607
BaseRepresentation
bin101000111000110…
…011100110111010
31202210210101210000
4220320303212322
52401102330330
6152022533430
722666506645
oct5070634672
91683711700
10685980090
11322243aa4
12171897276
13ac170ba3
1467168a5c
1540353560
hex28e339ba

685980090 has 160 divisors (see below), whose sum is σ = 2017281024. Its totient is φ = 166510080.

The previous prime is 685980067. The next prime is 685980101. The reversal of 685980090 is 90089586.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 426067 + ... + 427673.

Almost surely, 2685980090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 685980090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008640512).

685980090 is an abundant number, since it is smaller than the sum of its proper divisors (1331300934).

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

685980090 is a wasteful number, since it uses less digits than its factorization.

685980090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1674 (or 1665 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 685980090 is about 26191.2216209935. The cubic root of 685980090 is about 881.9362025214.

The spelling of 685980090 in words is "six hundred eighty-five million, nine hundred eighty thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 31 34 45 51 54 62 81 85 90 93 102 135 153 155 162 170 186 255 270 279 306 310 405 459 465 510 527 558 765 810 837 918 930 1054 1377 1395 1530 1581 1607 1674 2295 2511 2635 2754 2790 3162 3214 4185 4590 4743 4821 5022 5270 6885 7905 8035 8370 9486 9642 12555 13770 14229 14463 15810 16070 23715 24105 25110 27319 28458 28926 42687 43389 47430 48210 49817 54638 71145 72315 81957 85374 86778 99634 130167 136595 142290 144630 149451 163914 213435 216945 245871 249085 260334 273190 298902 409785 426870 433890 448353 491742 498170 650835 737613 747255 819570 846889 896706 1229355 1301670 1345059 1475226 1494510 1693778 2212839 2241765 2458710 2540667 2690118 3688065 4035177 4234445 4425678 4483530 5081334 6725295 7376130 7622001 8070354 8468890 11064195 12703335 13450590 15244002 20175885 22128390 22866003 25406670 38110005 40351770 45732006 68598009 76220010 114330015 137196018 228660030 342990045 685980090