Search a number
-
+
210030240 = 25357173677
BaseRepresentation
bin11001000010011…
…00111010100000
3112122012122022210
430201030322200
5412231431430
632501402120
75130141030
oct1441147240
9478178283
10210030240
11a8613912
125a409340
1334689864
141dc738c0
151368b2b0
hexc84cea0

210030240 has 192 divisors, whose sum is σ = 800803584. Its totient is φ = 45170688.

The previous prime is 210030229. The next prime is 210030253. The reversal of 210030240 is 42030012.

It is a super-2 number, since 2×2100302402 = 88225403428915200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55282 + ... + 58958.

It is an arithmetic number, because the mean of its divisors is an integer number (4170852).

Almost surely, 2210030240 is an apocalyptic number.

210030240 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 210030240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400401792).

210030240 is an abundant number, since it is smaller than the sum of its proper divisors (590773344).

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

210030240 is a wasteful number, since it uses less digits than its factorization.

210030240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3719 (or 3711 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 210030240 is about 14492.4200877562. The cubic root of 210030240 is about 594.4207247323.

Adding to 210030240 its reverse (42030012), we get a palindrome (252060252).

The spelling of 210030240 in words is "two hundred ten million, thirty thousand, two hundred forty".