Search a number
-
+
9069840 = 24335131719
BaseRepresentation
bin100010100110…
…010100010000
3122001210111000
4202212110100
54310213330
6522222000
7140043453
oct42462420
918053430
109069840
11513533a
123054900
131b57390
1412c149a
15be2560
hex8a6510

9069840 has 320 divisors, whose sum is σ = 37497600. Its totient is φ = 1990656.

The previous prime is 9069839. The next prime is 9069869. The reversal of 9069840 is 489609.

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

It is a nialpdrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 9069795 and 9069804.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 477351 + ... + 477369.

It is an arithmetic number, because the mean of its divisors is an integer number (117180).

Almost surely, 29069840 is an apocalyptic number.

9069840 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 9069840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18748800).

9069840 is an abundant number, since it is smaller than the sum of its proper divisors (28427760).

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

9069840 is a wasteful number, since it uses less digits than its factorization.

9069840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 9069840 is about 3011.6175055940. The cubic root of 9069840 is about 208.5450448715.

The spelling of 9069840 in words is "nine million, sixty-nine thousand, eight hundred forty".