Search a number
-
+
9027403840 = 2657131272441
BaseRepresentation
bin10000110100001001…
…10100000001000000
3212022010122122000101
420122010310001000
5121442003410330
64051440332144
7436464444430
oct103204640100
925263578011
109027403840
113912809134
1218bb314054
13b0b3566a0
14618d0a2c0
1537c7e14ca
hex21a134040

9027403840 has 224 divisors, whose sum is σ = 26676486144. Its totient is φ = 2833367040.

The previous prime is 9027403817. The next prime is 9027403849. The reversal of 9027403840 is 483047209.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 9027403840.

It is not an unprimeable number, because it can be changed into a prime (9027403849) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3697020 + ... + 3699460.

It is an arithmetic number, because the mean of its divisors is an integer number (119091456).

Almost surely, 29027403840 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 9027403840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13338243072).

9027403840 is an abundant number, since it is smaller than the sum of its proper divisors (17649082304).

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

9027403840 is a wasteful number, since it uses less digits than its factorization.

9027403840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2605 (or 2595 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 9027403840 is about 95012.6509471239. The cubic root of 9027403840 is about 2082.1928796102.

The spelling of 9027403840 in words is "nine billion, twenty-seven million, four hundred three thousand, eight hundred forty".