Search a number
-
+
212682840 = 233523263293
BaseRepresentation
bin11001010110101…
…00100001011000
3112211012102000020
430223110201120
5413421322330
633034310440
75161526406
oct1453244130
9484172006
10212682840
11aa065847
125b288420
13350a8046
1420364476
1513a12210
hexcad4858

212682840 has 128 divisors (see below), whose sum is σ = 670602240. Its totient is φ = 53858816.

The previous prime is 212682809. The next prime is 212682851. The reversal of 212682840 is 48286212.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 725734 + ... + 726026.

It is an arithmetic number, because the mean of its divisors is an integer number (5239080).

Almost surely, 2212682840 is an apocalyptic number.

212682840 is a gapful number since it is divisible by the number (20) 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 212682840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335301120).

212682840 is an abundant number, since it is smaller than the sum of its proper divisors (457919400).

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

212682840 is a wasteful number, since it uses less digits than its factorization.

212682840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 212682840 is about 14583.6497489483. The cubic root of 212682840 is about 596.9126970700.

The spelling of 212682840 in words is "two hundred twelve million, six hundred eighty-two thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 263 276 293 345 460 526 552 586 690 789 879 920 1052 1172 1315 1380 1465 1578 1758 2104 2344 2630 2760 2930 3156 3516 3945 4395 5260 5860 6049 6312 6739 7032 7890 8790 10520 11720 12098 13478 15780 17580 18147 20217 24196 26956 30245 31560 33695 35160 36294 40434 48392 53912 60490 67390 72588 77059 80868 90735 101085 120980 134780 145176 154118 161736 181470 202170 231177 241960 269560 308236 362940 385295 404340 462354 616472 725880 770590 808680 924708 1155885 1541180 1772357 1849416 2311770 3082360 3544714 4623540 5317071 7089428 8861785 9247080 10634142 14178856 17723570 21268284 26585355 35447140 42536568 53170710 70894280 106341420 212682840