[go: up one dir, main page]

Search a number
-
+
90021120 = 2835717197
BaseRepresentation
bin1010101110110…
…01110100000000
320021101112202120
411113121310000
5141021133440
612533244240
72142111150
oct527316400
9207345676
1090021120
11468a6222
1226193680
131585b747
14bd54760
157d82dd0
hex55d9d00

90021120 has 288 divisors, whose sum is σ = 349671168. Its totient is φ = 19267584.

The previous prime is 90021109. The next prime is 90021161. The reversal of 90021120 is 2112009.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 90021120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 456862 + ... + 457058.

It is an arithmetic number, because the mean of its divisors is an integer number (1214136).

Almost surely, 290021120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174835584).

90021120 is an abundant number, since it is smaller than the sum of its proper divisors (259650048).

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

90021120 is a wasteful number, since it uses less digits than its factorization.

90021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 90021120 is about 9487.9460369460. The cubic root of 90021120 is about 448.1755264578.

Adding to 90021120 its reverse (2112009), we get a palindrome (92133129).

The spelling of 90021120 in words is "ninety million, twenty-one thousand, one hundred twenty".