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6068230400 = 28521974813
BaseRepresentation
bin1011010011011000…
…11101100100000000
3120122220110001012002
411221230131210000
544411431333100
62442051123132
7303243051551
oct55154354400
916586401162
106068230400
1126343a3351
1212142a34a8
13759267c9b
14417cd0328
15257b142d5
hex169b1d900

6068230400 has 108 divisors (see below), whose sum is σ = 15099197652. Its totient is φ = 2414469120.

The previous prime is 6068230381. The next prime is 6068230411. The reversal of 6068230400 is 40328606.

It can be written as a sum of positive squares in 6 ways, for example, as 563777536 + 5504452864 = 23744^2 + 74192^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1258394 + ... + 1263206.

Almost surely, 26068230400 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 6068230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7549598826).

6068230400 is an abundant number, since it is smaller than the sum of its proper divisors (9030967252).

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

6068230400 is a wasteful number, since it uses less digits than its factorization.

6068230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5036 (or 5017 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 6068230400 is about 77898.8472315220. The cubic root of 6068230400 is about 1823.9825842187.

The spelling of 6068230400 in words is "six billion, sixty-eight million, two hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 197 200 256 320 394 400 640 788 800 985 1280 1576 1600 1970 3152 3200 3940 4813 4925 6304 6400 7880 9626 9850 12608 15760 19252 19700 24065 25216 31520 38504 39400 48130 50432 63040 77008 78800 96260 120325 126080 154016 157600 192520 240650 252160 308032 315200 385040 481300 616064 630400 770080 948161 962600 1232128 1260800 1540160 1896322 1925200 3080320 3792644 3850400 4740805 6160640 7585288 7700800 9481610 15170576 15401600 18963220 23704025 30341152 30803200 37926440 47408050 60682304 75852880 94816100 121364608 151705760 189632200 242729216 303411520 379264400 606823040 758528800 1213646080 1517057600 3034115200 6068230400