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6894054240 = 253519769983
BaseRepresentation
bin1100110101110101…
…01110101101100000
3122210110101020112020
412122322232231200
5103104334213430
63100031301440
7332561331333
oct63272565540
918713336466
106894054240
112a18571a97
12140497a880
1385b390048
1449585c61a
152a538cb10
hex19aeaeb60

6894054240 has 192 divisors, whose sum is σ = 22912243200. Its totient is φ = 1737621504.

The previous prime is 6894054199. The next prime is 6894054301. The reversal of 6894054240 is 424504986.

It is a junction number, because it is equal to n+sod(n) for n = 6894054192 and 6894054201.

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, 7012789 + ... + 7013771.

It is an arithmetic number, because the mean of its divisors is an integer number (119334600).

Almost surely, 26894054240 is an apocalyptic number.

6894054240 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 6894054240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11456121600).

6894054240 is an abundant number, since it is smaller than the sum of its proper divisors (16018188960).

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

6894054240 is a wasteful number, since it uses less digits than its factorization.

6894054240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1789 (or 1781 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 6894054240 is about 83030.4416464227. The cubic root of 6894054240 is about 1903.2312734839.

The spelling of 6894054240 in words is "six billion, eight hundred ninety-four million, fifty-four thousand, two hundred forty".