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6339904020 = 223552944983
BaseRepresentation
bin1011110011110001…
…10100001000010100
3121100211122111100000
411321320310020110
5100441003412040
62525034051300
7313052203122
oct57170641024
917324574300
106339904020
11276378a7aa
12128b279b30
137a06287c8
1444200c912
152718ca130
hex179e34214

6339904020 has 144 divisors (see below), whose sum is σ = 20631461760. Its totient is φ = 1632306816.

The previous prime is 6339904019. The next prime is 6339904031. The reversal of 6339904020 is 204099336.

It is a happy number.

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, 118449 + ... + 163431.

It is an arithmetic number, because the mean of its divisors is an integer number (143274040).

Almost surely, 26339904020 is an apocalyptic number.

6339904020 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 6339904020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10315730880).

6339904020 is an abundant number, since it is smaller than the sum of its proper divisors (14291557740).

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

6339904020 is a wasteful number, since it uses less digits than its factorization.

6339904020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45036 (or 45022 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 6339904020 is about 79623.5142404554. The cubic root of 6339904020 is about 1850.8059814135.

The spelling of 6339904020 in words is "six billion, three hundred thirty-nine million, nine hundred four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 45 54 58 60 81 87 90 108 116 135 145 162 174 180 243 261 270 290 324 348 405 435 486 522 540 580 783 810 870 972 1044 1215 1305 1566 1620 1740 2349 2430 2610 3132 3915 4698 4860 5220 7047 7830 9396 11745 14094 15660 23490 28188 35235 44983 46980 70470 89966 134949 140940 179932 224915 269898 404847 449830 539796 674745 809694 899660 1214541 1304507 1349490 1619388 2024235 2429082 2609014 2698980 3643623 3913521 4048470 4858164 5218028 6072705 6522535 7287246 7827042 8096940 10930869 11740563 12145410 13045070 14574492 15654084 18218115 19567605 21861738 23481126 24290820 26090140 35221689 36436230 39135210 43723476 46962252 54654345 58702815 70443378 72872460 78270420 105665067 109308690 117405630 140886756 176108445 211330134 218617380 234811260 316995201 352216890 422660268 528325335 633990402 704433780 1056650670 1267980804 1584976005 2113301340 3169952010 6339904020