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810141696 = 21133721323
BaseRepresentation
bin110000010010011…
…100100000000000
32002110102110111000
4300102130200000
53124344013241
6212220052000
726035043100
oct6022344000
92073373430
10810141696
113863384a1
121a7394000
13cbac40b0
1479849200
154b1cbeb6
hex3049c800

810141696 has 576 divisors, whose sum is σ = 3137097600. Its totient is φ = 204374016.

The previous prime is 810141643. The next prime is 810141721. The reversal of 810141696 is 696141018.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 810141696.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35223541 + ... + 35223563.

It is an arithmetic number, because the mean of its divisors is an integer number (5446350).

Almost surely, 2810141696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 810141696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568548800).

810141696 is an abundant number, since it is smaller than the sum of its proper divisors (2326955904).

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

810141696 is a wasteful number, since it uses less digits than its factorization.

810141696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 810141696 is about 28462.9881776317. The cubic root of 810141696 is about 932.2241044709.

The spelling of 810141696 in words is "eight hundred ten million, one hundred forty-one thousand, six hundred ninety-six".