Search a number
-
+
810160000 = 2754131941
BaseRepresentation
bin110000010010100…
…000111110000000
32002110110101120221
4300102200332000
53124400110000
6212220312424
726035150336
oct6022407600
92073411527
10810160000
11386350221
121a73a2714
13cbacc520
1479851b56
154b1d261a
hex304a0f80

810160000 has 320 divisors, whose sum is σ = 2342062800. Its totient is φ = 276480000.

The previous prime is 810159991. The next prime is 810160081. The reversal of 810160000 is 61018.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19759980 + ... + 19760020.

Almost surely, 2810160000 is an apocalyptic number.

810160000 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 810160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1171031400).

810160000 is an abundant number, since it is smaller than the sum of its proper divisors (1531902800).

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

810160000 is a wasteful number, since it uses less digits than its factorization.

810160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 810160000 is about 28463.3097161943. The cubic root of 810160000 is about 932.2311251775.

The spelling of 810160000 in words is "eight hundred ten million, one hundred sixty thousand".