Search a number
-
+
900630720 = 263251128429
BaseRepresentation
bin110101101011101…
…000100011000000
32022202200210002100
4311223220203000
53321030140340
6225211350400
731214143353
oct6553504300
92282623070
10900630720
11422423210
12211752400
131147877b2
148788229a
1554103830
hex35ae88c0

900630720 has 168 divisors, whose sum is σ = 3379530960. Its totient is φ = 218327040.

The previous prime is 900630719. The next prime is 900630751. The reversal of 900630720 is 27036009.

900630720 is a `hidden beast` number, since 9 + 0 + 0 + 630 + 7 + 20 = 666.

It is a super-2 number, since 2×9006307202 = 1622271387615436800, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 17466 + ... + 45894.

Almost surely, 2900630720 is an apocalyptic number.

900630720 is a gapful number since it is divisible by the number (90) 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 900630720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1689765480).

900630720 is an abundant number, since it is smaller than the sum of its proper divisors (2478900240).

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

900630720 is a wasteful number, since it uses less digits than its factorization.

900630720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28463 (or 28450 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 900630720 is about 30010.5101589427. The cubic root of 900630720 is about 965.7148702606.

Adding to 900630720 its reverse (27036009), we get a palindrome (927666729).

The spelling of 900630720 in words is "nine hundred million, six hundred thirty thousand, seven hundred twenty".