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84321420 = 223541151227
BaseRepresentation
bin1010000011010…
…10010010001100
312212122222020120
411001222102030
5133041241140
612211144540
72042502021
oct501522214
9185588216
1084321420
1143662a27
12242a5150
1314614341
14b2ad548
1576091d0
hex506a48c

84321420 has 96 divisors (see below), whose sum is σ = 244532736. Its totient is φ = 21696000.

The previous prime is 84321407. The next prime is 84321437. The reversal of 84321420 is 2412348.

It is a super-2 number, since 2×843214202 = 14220203741632800, which contains 22 as substring.

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, 371347 + ... + 371573.

It is an arithmetic number, because the mean of its divisors is an integer number (2547216).

Almost surely, 284321420 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 84321420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122266368).

84321420 is an abundant number, since it is smaller than the sum of its proper divisors (160211316).

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

84321420 is a wasteful number, since it uses less digits than its factorization.

84321420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 84321420 is about 9182.6695464881. The cubic root of 84321420 is about 438.5098002609.

Adding to 84321420 its reverse (2412348), we get a palindrome (86733768).

The spelling of 84321420 in words is "eighty-four million, three hundred twenty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 151 164 205 227 246 302 410 453 454 492 604 615 681 755 820 906 908 1135 1230 1362 1510 1812 2265 2270 2460 2724 3020 3405 4530 4540 6191 6810 9060 9307 12382 13620 18573 18614 24764 27921 30955 34277 37146 37228 46535 55842 61910 68554 74292 92865 93070 102831 111684 123820 137108 139605 171385 185730 186140 205662 279210 342770 371460 411324 514155 558420 685540 1028310 1405357 2056620 2810714 4216071 5621428 7026785 8432142 14053570 16864284 21080355 28107140 42160710 84321420