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842063040 = 26355721317
BaseRepresentation
bin110010001100001…
…101110011000000
32011200111020100000
4302030031303000
53211032004130
6215320200000
726603263200
oct6214156300
92150436300
10842063040
113a2360475
121b6009000
131055bc770
147db98400
154ddd5260
hex3230dcc0

842063040 has 1008 divisors, whose sum is σ = 3984113952. Its totient is φ = 167215104.

The previous prime is 842063011. The next prime is 842063069. The reversal of 842063040 is 40360248.

842063040 is a `hidden beast` number, since 8 + 4 + 20 + 630 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (842063011) and next prime (842063069).

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a junction number, because it is equal to n+sod(n) for n = 842062995 and 842063013.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 49533112 + ... + 49533128.

It is an arithmetic number, because the mean of its divisors is an integer number (3952494).

Almost surely, 2842063040 is an apocalyptic number.

842063040 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 842063040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1992056976).

842063040 is an abundant number, since it is smaller than the sum of its proper divisors (3142050912).

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

842063040 is a wasteful number, since it uses less digits than its factorization.

842063040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 842063040 is about 29018.3224876973. The cubic root of 842063040 is about 944.3106083118.

The spelling of 842063040 in words is "eight hundred forty-two million, sixty-three thousand, forty".