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6400286420 = 22511192815449
BaseRepresentation
bin1011111010111110…
…01001111011010100
3121112001021020102012
411331133021323110
5101101433131140
62535032203352
7314414352113
oct57537117324
917461236365
106400286420
112794881a10
1212a7539558
137accaa838
1444a049c7a
15276d56265
hex17d7c9ed4

6400286420 has 96 divisors (see below), whose sum is σ = 15491952000. Its totient is φ = 2196633600.

The previous prime is 6400286407. The next prime is 6400286441. The reversal of 6400286420 is 246820046.

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, 1171856 + ... + 1177304.

It is an arithmetic number, because the mean of its divisors is an integer number (161374500).

Almost surely, 26400286420 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 6400286420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7745976000).

6400286420 is an abundant number, since it is smaller than the sum of its proper divisors (9091665580).

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

6400286420 is a wasteful number, since it uses less digits than its factorization.

6400286420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5769 (or 5767 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 6400286420 is about 80001.7901049720. The cubic root of 6400286420 is about 1856.6632297793.

The spelling of 6400286420 in words is "six billion, four hundred million, two hundred eighty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 281 380 418 562 836 1045 1124 1405 2090 2810 3091 4180 5339 5449 5620 6182 10678 10898 12364 15455 21356 21796 26695 27245 30910 53390 54490 58729 59939 61820 103531 106780 108980 117458 119878 207062 234916 239756 293645 299695 414124 517655 587290 599390 1035310 1138841 1174580 1198780 1531169 2070620 2277682 3062338 4555364 5694205 6124676 7655845 11388410 15311690 16842859 22776820 29092211 30623380 33685718 58184422 67371436 84214295 116368844 145461055 168428590 290922110 320014321 336857180 581844220 640028642 1280057284 1600071605 3200143210 6400286420