Search a number
-
+
9035470080 = 28335713317
BaseRepresentation
bin10000110101000111…
…00101010100000000
3212022200211102211000
420122203211110000
5122001040020310
64052325252000
7436623141240
oct103243452400
925280742730
109035470080
11391731844a
121901b64000
13b0cc1c000
1461a009b20
1537d3864c0
hex21a8e5500

9035470080 has 1152 divisors, whose sum is σ = 42031180800. Its totient is φ = 1794244608.

The previous prime is 9035470061. The next prime is 9035470127. The reversal of 9035470080 is 800745309.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 531498232 + ... + 531498248.

It is an arithmetic number, because the mean of its divisors is an integer number (36485400).

Almost surely, 29035470080 is an apocalyptic number.

9035470080 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 9035470080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21015590400).

9035470080 is an abundant number, since it is smaller than the sum of its proper divisors (32995710720).

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

9035470080 is a wasteful number, since it uses less digits than its factorization.

9035470080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 9035470080 is about 95055.0897111775. The cubic root of 9035470080 is about 2082.8128610158.

The spelling of 9035470080 in words is "nine billion, thirty-five million, four hundred seventy thousand, eighty".