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80682420 = 223572132111
BaseRepresentation
bin1001100111100…
…01110110110100
312121211002110210
410303301312310
5131123314140
612001145420
71666534500
oct463616664
9177732423
1080682420
11415a7995
122302b270
131393bba0
14aa03300
15713ad80
hex4cf1db4

80682420 has 144 divisors (see below), whose sum is σ = 283143168. Its totient is φ = 17015040.

The previous prime is 80682401. The next prime is 80682431. The reversal of 80682420 is 2428608.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 37165 + ... + 39275.

It is an arithmetic number, because the mean of its divisors is an integer number (1966272).

Almost surely, 280682420 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 80682420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141571584).

80682420 is an abundant number, since it is smaller than the sum of its proper divisors (202460748).

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

80682420 is a wasteful number, since it uses less digits than its factorization.

80682420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2150 (or 2141 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 80682420 is about 8982.3393389473. The cubic root of 80682420 is about 432.1086617947.

The spelling of 80682420 in words is "eighty million, six hundred eighty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 49 52 60 65 70 78 84 91 98 105 130 140 147 156 182 195 196 210 245 260 273 294 364 390 420 455 490 546 588 637 735 780 910 980 1092 1274 1365 1470 1820 1911 2111 2548 2730 2940 3185 3822 4222 5460 6333 6370 7644 8444 9555 10555 12666 12740 14777 19110 21110 25332 27443 29554 31665 38220 42220 44331 54886 59108 63330 73885 82329 88662 103439 109772 126660 137215 147770 164658 177324 192101 206878 221655 274430 295540 310317 329316 384202 411645 413756 443310 517195 548860 576303 620634 768404 823290 886620 960505 1034390 1152606 1241268 1344707 1551585 1646580 1921010 2068780 2305212 2689414 2881515 3103170 3842020 4034121 5378828 5763030 6206340 6723535 8068242 11526060 13447070 16136484 20170605 26894140 40341210 80682420