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682109820 = 223257975581
BaseRepresentation
bin101000101010000…
…010101101111100
31202112111202202200
4220222002231330
52344110003240
6151403551500
722621560240
oct5052025574
91675452680
10682109820
11320040227
1217052b590
13ab4173a2
146683c420
153ed3b930
hex28a82b7c

682109820 has 144 divisors (see below), whose sum is σ = 2389453248. Its totient is φ = 154275840.

The previous prime is 682109809. The next prime is 682109839. The reversal of 682109820 is 28901286.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119430 + ... + 125010.

Almost surely, 2682109820 is an apocalyptic number.

682109820 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 682109820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194726624).

682109820 is an abundant number, since it is smaller than the sum of its proper divisors (1707343428).

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

682109820 is a wasteful number, since it uses less digits than its factorization.

682109820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5700 (or 5695 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 682109820 is about 26117.2322423338. The cubic root of 682109820 is about 880.2744581247.

The spelling of 682109820 in words is "six hundred eighty-two million, one hundred nine thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 97 105 126 140 180 194 210 252 291 315 388 420 485 582 630 679 873 970 1164 1260 1358 1455 1746 1940 2037 2716 2910 3395 3492 4074 4365 5581 5820 6111 6790 8148 8730 10185 11162 12222 13580 16743 17460 20370 22324 24444 27905 30555 33486 39067 40740 50229 55810 61110 66972 78134 83715 100458 111620 117201 122220 156268 167430 195335 200916 234402 251145 334860 351603 390670 468804 502290 541357 586005 703206 781340 1004580 1082714 1172010 1406412 1624071 1758015 2165428 2344020 2706785 3248142 3516030 3789499 4872213 5413570 6496284 7032060 7578998 8120355 9744426 10827140 11368497 15157996 16240710 18947495 19488852 22736994 24361065 32481420 34105491 37894990 45473988 48722130 56842485 68210982 75789980 97444260 113684970 136421964 170527455 227369940 341054910 682109820