Search a number
-
+
9921240 = 23325731127
BaseRepresentation
bin100101110110…
…001011011000
3200200001101100
4211312023120
510014434430
6552351400
7150220620
oct45661330
920601340
109921240
115666a7a
1233a5560
132094a74
141463880
15d0e960
hex9762d8

9921240 has 192 divisors, whose sum is σ = 38338560. Its totient is φ = 2177280.

The previous prime is 9921227. The next prime is 9921259. The reversal of 9921240 is 421299.

9921240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78057 + ... + 78183.

It is an arithmetic number, because the mean of its divisors is an integer number (199680).

Almost surely, 29921240 is an apocalyptic number.

9921240 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 9921240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19169280).

9921240 is an abundant number, since it is smaller than the sum of its proper divisors (28417320).

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

9921240 is a wasteful number, since it uses less digits than its factorization.

9921240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 9921240 is about 3149.7999936504. The cubic root of 9921240 is about 214.8763666337.

The spelling of 9921240 in words is "nine million, nine hundred twenty-one thousand, two hundred forty".