Search a number
-
+
842096640 = 2133571189
BaseRepresentation
bin110010001100010…
…110000000000000
32011200112221102110
4302030112000000
53211034043030
6215321015320
726603463150
oct6214260000
92150487373
10842096640
113a2383740
121b6024540
13105601b48
147dba6760
154dde01b0
hex32316000

842096640 has 448 divisors, whose sum is σ = 3397178880. Its totient is φ = 173015040.

The previous prime is 842096623. The next prime is 842096659. The reversal of 842096640 is 46690248.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9461716 + ... + 9461804.

Almost surely, 2842096640 is an apocalyptic number.

842096640 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 842096640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1698589440).

842096640 is an abundant number, since it is smaller than the sum of its proper divisors (2555082240).

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

842096640 is a wasteful number, since it uses less digits than its factorization.

842096640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 842096640 is about 29018.9014264841. The cubic root of 842096640 is about 944.3231681056.

The spelling of 842096640 in words is "eight hundred forty-two million, ninety-six thousand, six hundred forty".