Search a number
-
+
97240320 = 2832523367
BaseRepresentation
bin1011100101111…
…00010100000000
320202222022122100
411302330110000
5144343142240
613352110400
72260346322
oct562742400
9222868570
1097240320
114a987101
1228695400
13171b8668
14ccb3612
15880be30
hex5cbc500

97240320 has 216 divisors, whose sum is σ = 352025856. Its totient is φ = 24735744.

The previous prime is 97240313. The next prime is 97240327. The reversal of 97240320 is 2304279.

It is an interprime number because it is at equal distance from previous prime (97240313) and next prime (97240327).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97240327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 264777 + ... + 265143.

Almost surely, 297240320 is an apocalyptic number.

97240320 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 97240320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176012928).

97240320 is an abundant number, since it is smaller than the sum of its proper divisors (254785536).

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

97240320 is a wasteful number, since it uses less digits than its factorization.

97240320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 97240320 is about 9861.0506539618. The cubic root of 97240320 is about 459.8492259486.

Adding to 97240320 its reverse (2304279), we get a palindrome (99544599).

The spelling of 97240320 in words is "ninety-seven million, two hundred forty thousand, three hundred twenty".