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842711040 = 214345127
BaseRepresentation
bin110010001110101…
…100000000000000
32011201201011020000
4302032230000000
53211213223130
6215342120000
726611632333
oct6216540000
92151634200
10842711040
113a2763306
121b6280000
131057886b2
147dcc661a
154deb2260
hex323ac000

842711040 has 300 divisors, whose sum is σ = 3044971776. Its totient is φ = 222953472.

The previous prime is 842711039. The next prime is 842711113. The reversal of 842711040 is 40117248.

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 = 842710995 and 842711013.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6635457 + ... + 6635583.

Almost surely, 2842711040 is an apocalyptic number.

842711040 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 842711040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522485888).

842711040 is an abundant number, since it is smaller than the sum of its proper divisors (2202260736).

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

842711040 is an equidigital number, since it uses as much as digits as its factorization.

842711040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 842711040 is about 29029.4856998880. The cubic root of 842711040 is about 944.5527740202.

Adding to 842711040 its reverse (40117248), we get a palindrome (882828288).

The spelling of 842711040 in words is "eight hundred forty-two million, seven hundred eleven thousand, forty".