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2463683420 = 2251128231237
BaseRepresentation
bin1001001011011000…
…1101001101011100
320100200212002022002
42102312031031130
520021200332140
61044245141432
7115023651332
oct22266151534
96320762262
102463683420
111054759900
125890ba878
13303555353
141952b9b52
15e6455415
hex92d8d35c

2463683420 has 72 divisors (see below), whose sum is σ = 5698345632. Its totient is φ = 894072960.

The previous prime is 2463683389. The next prime is 2463683441. The reversal of 2463683420 is 243863642.

2463683420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1991042 + ... + 1992278.

Almost surely, 22463683420 is an apocalyptic number.

2463683420 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 2463683420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2849172816).

2463683420 is an abundant number, since it is smaller than the sum of its proper divisors (3234662212).

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

2463683420 is a wasteful number, since it uses less digits than its factorization.

2463683420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2091 (or 2078 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 38.

The square root of 2463683420 is about 49635.5056386051. The cubic root of 2463683420 is about 1350.6048355159.

The spelling of 2463683420 in words is "two billion, four hundred sixty-three million, six hundred eighty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 823 1210 1237 1646 2420 2474 3292 4115 4948 6185 8230 9053 12370 13607 16460 18106 24740 27214 36212 45265 54428 68035 90530 99583 136070 149677 181060 199166 272140 299354 398332 497915 598708 748385 995830 1018051 1496770 1991660 2036102 2993540 4072204 5090255 10180510 11198561 20361020 22397122 44794244 55992805 111985610 123184171 223971220 246368342 492736684 615920855 1231841710 2463683420