Search a number
-
+
210296736 = 253413792
BaseRepresentation
bin11001000100011…
…01111110100000
3112122201011220000
430202031332200
5412313443421
632511220000
75132331006
oct1442157640
9478634800
10210296736
11a8786061
125a517600
1334750c50
141dd02a76
15136e0226
hexc88dfa0

210296736 has 180 divisors, whose sum is σ = 674589762. Its totient is φ = 63887616.

The previous prime is 210296701. The next prime is 210296741. The reversal of 210296736 is 637692012.

210296736 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 202208400 + 8088336 = 14220^2 + 2844^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 210296736.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2661945 + ... + 2662023.

Almost surely, 2210296736 is an apocalyptic number.

210296736 is a gapful number since it is divisible by the number (26) 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 210296736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337294881).

210296736 is an abundant number, since it is smaller than the sum of its proper divisors (464293026).

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

210296736 is an equidigital number, since it uses as much as digits as its factorization.

210296736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 210296736 is about 14501.6114966579. The cubic root of 210296736 is about 594.6720278987.

The spelling of 210296736 in words is "two hundred ten million, two hundred ninety-six thousand, seven hundred thirty-six".