Search a number
-
+
842060800 = 21052737127
BaseRepresentation
bin110010001100001…
…101010000000000
32011200111010021001
4302030031100000
53211031421200
6215320141344
726603253520
oct6214152000
92150433231
10842060800
113a2359819
121b6007854
131055bb739
147db97680
154ddd476a
hex3230d400

842060800 has 264 divisors, whose sum is σ = 2469238784. Its totient is φ = 278691840.

The previous prime is 842060777. The next prime is 842060809. The reversal of 842060800 is 8060248.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (842060809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6630337 + ... + 6630463.

Almost surely, 2842060800 is an apocalyptic number.

842060800 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 842060800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234619392).

842060800 is an abundant number, since it is smaller than the sum of its proper divisors (1627177984).

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

842060800 is a wasteful number, since it uses less digits than its factorization.

842060800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 842060800 is about 29018.2838913675. The cubic root of 842060800 is about 944.3097709804.

The spelling of 842060800 in words is "eight hundred forty-two million, sixty thousand, eight hundred".