Search a number
-
+
210430780560 = 2432571131319127
BaseRepresentation
bin1100001111111010100…
…1101110010010010000
3202010011021122020110100
43003332221232102100
511421430234434220
6240400501532400
721126446056650
oct3037651562220
9663137566410
10210430780560
1181274765000
1234948a14100
1316ac7337290
14a28353c360
155719075d90
hex30fea6e490

210430780560 has 1920 divisors, whose sum is σ = 1014975037440. Its totient is φ = 37936926720.

The previous prime is 210430780531. The next prime is 210430780589. The reversal of 210430780560 is 65087034012.

210430780560 is a `hidden beast` number, since 2 + 10 + 4 + 3 + 0 + 7 + 80 + 560 = 666.

210430780560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (210430780531) and next prime (210430780589).

It is a super-2 number, since 2×2104307805602 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1656935217 + ... + 1656935343.

It is an arithmetic number, because the mean of its divisors is an integer number (528632832).

Almost surely, 2210430780560 is an apocalyptic number.

210430780560 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 210430780560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507487518720).

210430780560 is an abundant number, since it is smaller than the sum of its proper divisors (804544256880).

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

210430780560 is a wasteful number, since it uses less digits than its factorization.

210430780560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 210430780560 in words is "two hundred ten billion, four hundred thirty million, seven hundred eighty thousand, five hundred sixty".