Search a number
-
+
810070144 = 2713486821
BaseRepresentation
bin110000010010001…
…011000010000000
32002110021211022221
4300102023002000
53124334221034
6212214340424
726034324352
oct6022130200
92073254287
10810070144
11386299764
121a735a714
13cba9a660
147982b0d2
154b1b5bb4
hex3048b080

810070144 has 32 divisors (see below), whose sum is σ = 1737954540. Its totient is φ = 373877760.

The previous prime is 810070139. The next prime is 810070171. The reversal of 810070144 is 441070018.

It can be written as a sum of positive squares in 2 ways, for example, as 808833600 + 1236544 = 28440^2 + 1112^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 241747 + ... + 245074.

Almost surely, 2810070144 is an apocalyptic number.

It is an amenable number.

810070144 is an abundant number, since it is smaller than the sum of its proper divisors (927884396).

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

810070144 is a wasteful number, since it uses less digits than its factorization.

810070144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486848 (or 486836 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 810070144 is about 28461.7312193057. The cubic root of 810070144 is about 932.1966588758.

The spelling of 810070144 in words is "eight hundred ten million, seventy thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 486821 973642 1947284 3894568 6328673 7789136 12657346 15578272 25314692 31156544 50629384 62313088 101258768 202517536 405035072 810070144