Search a number
-
+
9074001024 = 27351122411
BaseRepresentation
bin10000111001101101…
…00100010010000000
3212102101100000100000
420130312210102000
5122040421013044
64100223200000
7440601510324
oct103466442200
925371300300
109074001024
113937045300
121912a46000
13b17bbcc9a
14621199984
15381947d69
hex21cda4480

9074001024 has 288 divisors, whose sum is σ = 29776284720. Its totient is φ = 2748556800.

The previous prime is 9074000987. The next prime is 9074001031. The reversal of 9074001024 is 4201004709.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3762379 + ... + 3764789.

Almost surely, 29074001024 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 9074001024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14888142360).

9074001024 is an abundant number, since it is smaller than the sum of its proper divisors (20702283696).

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

9074001024 is a wasteful number, since it uses less digits than its factorization.

9074001024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2462 (or 2427 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 9074001024 is about 95257.5510077810. The cubic root of 9074001024 is about 2085.7693180915.

The spelling of 9074001024 in words is "nine billion, seventy-four million, one thousand, twenty-four".