Search a number
-
+
210530154240 = 28335721771103
BaseRepresentation
bin1100010000010010010…
…0110011011100000000
3202010102012121221112000
43010010210303130000
511422131204413430
6240414411504000
721132063533100
oct3040444633400
9663365557460
10210530154240
1181315868a0a
1234976158000
1316b11abb983
14a292809200
155722b54e60
hex3104933700

210530154240 has 1728 divisors, whose sum is σ = 942204856320. Its totient is φ = 44219105280.

The previous prime is 210530154187. The next prime is 210530154271. The reversal of 210530154240 is 42451035012.

210530154240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 2043982029 + ... + 2043982131.

It is an arithmetic number, because the mean of its divisors is an integer number (545257440).

Almost surely, 2210530154240 is an apocalyptic number.

210530154240 is a gapful number since it is divisible by the number (20) 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 210530154240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471102428160).

210530154240 is an abundant number, since it is smaller than the sum of its proper divisors (731674702080).

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

210530154240 is a wasteful number, since it uses less digits than its factorization.

210530154240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 210530154240 its reverse (42451035012), we get a palindrome (252981189252).

The spelling of 210530154240 in words is "two hundred ten billion, five hundred thirty million, one hundred fifty-four thousand, two hundred forty".