Search a number
-
+
9697072320 = 26325132311261
BaseRepresentation
bin10010000011111110…
…11001010011000000
3221000210202022110200
421001333121103000
5124324422303240
64242121525200
7462205516605
oct110177312300
927023668420
109697072320
114126820a61
121a67643800
13bb7005c20
1467dc2a6ac
153bb4c1930
hex241fd94c0

9697072320 has 336 divisors, whose sum is σ = 37484620992. Its totient is φ = 2282987520.

The previous prime is 9697072291. The next prime is 9697072327. The reversal of 9697072320 is 232707969.

It is a happy number.

It is a super-3 number, since 3×96970723203 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (9697072327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 855490 + ... + 866750.

It is an arithmetic number, because the mean of its divisors is an integer number (111561372).

Almost surely, 29697072320 is an apocalyptic number.

9697072320 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 9697072320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18742310496).

9697072320 is an abundant number, since it is smaller than the sum of its proper divisors (27787548672).

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

9697072320 is a wasteful number, since it uses less digits than its factorization.

9697072320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11320 (or 11307 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 9697072320 is about 98473.7138529872. The cubic root of 9697072320 is about 2132.4566510660.

The spelling of 9697072320 in words is "nine billion, six hundred ninety-seven million, seventy-two thousand, three hundred twenty".