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1063830240 = 253351161367
BaseRepresentation
bin111111011010001…
…100001011100000
32202010210011202000
4333122030023200
54134320031430
6253321324000
735235256614
oct7732141340
92663704660
101063830240
114a6560450
12258336600
1313c528665
14a1405344
15635dde60
hex3f68c2e0

1063830240 has 384 divisors, whose sum is σ = 4139735040. Its totient is φ = 252979200.

The previous prime is 1063830149. The next prime is 1063830259. The reversal of 1063830240 is 420383601.

It is a happy number.

1063830240 is a `hidden beast` number, since 1 + 0 + 638 + 3 + 0 + 24 + 0 = 666.

1063830240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×10638302404 (a number of 37 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3, 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2898537 + ... + 2898903.

It is an arithmetic number, because the mean of its divisors is an integer number (10780560).

Almost surely, 21063830240 is an apocalyptic number.

1063830240 is a gapful number since it is divisible by the number (10) 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 1063830240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2069867520).

1063830240 is an abundant number, since it is smaller than the sum of its proper divisors (3075904800).

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

1063830240 is a wasteful number, since it uses less digits than its factorization.

1063830240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1063830240 is about 32616.4105934421. The cubic root of 1063830240 is about 1020.8394473640.

The spelling of 1063830240 in words is "one billion, sixty-three million, eight hundred thirty thousand, two hundred forty".