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842693040 = 243257612741
BaseRepresentation
bin110010001110100…
…111100110110000
32011201200020112100
4302032213212300
53211212134130
6215341500400
726611526010
oct6216474660
92151606470
10842693040
113a2750832
121b6271700
13105780447
147dcbdc40
154deabc60
hex323a79b0

842693040 has 240 divisors, whose sum is σ = 3288557376. Its totient is φ = 189388800.

The previous prime is 842693039. The next prime is 842693041. The reversal of 842693040 is 40396248.

It is a happy number.

842693040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (842693039) and next prime (842693041).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 842692986 and 842693004.

It is not an unprimeable number, because it can be changed into a prime (842693041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 306070 + ... + 308810.

Almost surely, 2842693040 is an apocalyptic number.

842693040 is a gapful number since it is divisible by the number (80) 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 842693040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1644278688).

842693040 is an abundant number, since it is smaller than the sum of its proper divisors (2445864336).

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

842693040 is a wasteful number, since it uses less digits than its factorization.

842693040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2828 (or 2819 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 842693040 is about 29029.1756686269. The cubic root of 842693040 is about 944.5460488715.

The spelling of 842693040 in words is "eight hundred forty-two million, six hundred ninety-three thousand, forty".