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6380104200 = 2335266116087
BaseRepresentation
bin1011111000100100…
…01010101000001000
3121110122021212121120
411330102022220020
5101031301313300
62533031435240
7314050663611
oct57422125010
917418255546
106380104200
112784447798
1212a0825b20
137a8a624b2
144474b4c08
152751bb3a0
hex17c48aa08

6380104200 has 96 divisors (see below), whose sum is σ = 19809476160. Its totient is φ = 1698681600.

The previous prime is 6380104153. The next prime is 6380104223. The reversal of 6380104200 is 24010836.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 388557 + ... + 404643.

It is an arithmetic number, because the mean of its divisors is an integer number (206348710).

Almost surely, 26380104200 is an apocalyptic number.

6380104200 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 6380104200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9904738080).

6380104200 is an abundant number, since it is smaller than the sum of its proper divisors (13429371960).

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

6380104200 is a wasteful number, since it uses less digits than its factorization.

6380104200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16767 (or 16758 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 6380104200 is about 79875.5544581695. The cubic root of 6380104200 is about 1854.7096171220.

The spelling of 6380104200 in words is "six billion, three hundred eighty million, one hundred four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 661 1322 1983 2644 3305 3966 5288 6610 7932 9915 13220 15864 16087 16525 19830 26440 32174 33050 39660 48261 49575 64348 66100 79320 80435 96522 99150 128696 132200 160870 193044 198300 241305 321740 386088 396600 402175 482610 643480 804350 965220 1206525 1608700 1930440 2413050 3217400 4826100 9652200 10633507 21267014 31900521 42534028 53167535 63801042 85068056 106335070 127602084 159502605 212670140 255204168 265837675 319005210 425340280 531675350 638010420 797513025 1063350700 1276020840 1595026050 2126701400 3190052100 6380104200