Search a number
-
+
9307007040 = 2635231273319
BaseRepresentation
bin10001010101011110…
…11010100001000000
3220000121202221111110
420222233122201000
5123030043211130
64135305243320
7446431153212
oct105257324100
926017687443
109307007040
113a46621161
121978a93540
13b54262576
146440d05b2
15397121ab0
hex22abda840

9307007040 has 224 divisors, whose sum is σ = 31086673920. Its totient is φ = 2354558976.

The previous prime is 9307006999. The next prime is 9307007189. The reversal of 9307007040 is 407007039.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 9307006989 and 9307007007.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2802501 + ... + 2805819.

Almost surely, 29307007040 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 9307007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15543336960).

9307007040 is an abundant number, since it is smaller than the sum of its proper divisors (21779666880).

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

9307007040 is a wasteful number, since it uses less digits than its factorization.

9307007040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3489 (or 3479 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 30.

The square root of 9307007040 is about 96472.8305793916. The cubic root of 9307007040 is about 2103.4717357955.

The spelling of 9307007040 in words is "nine billion, three hundred seven million, seven thousand, forty".