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8830297920 = 263531417237
BaseRepresentation
bin10000011100101001…
…11010011101000000
3211210101202121112010
420032110322131000
5121041024013140
64020115532520
7431552202543
oct101624723500
924711677463
108830297920
113821522584
1218652ba140
13aa9573772
145daa7c85a
1536a359880
hex20e53a740

8830297920 has 224 divisors, whose sum is σ = 29650553856. Its totient is φ = 2222899200.

The previous prime is 8830297919. The next prime is 8830297979. The reversal of 8830297920 is 297920388.

It is a happy number.

It is a super-2 number, since 2×88302979202 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 8830297920.

It is a congruent number.

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, 1216542 + ... + 1223778.

It is an arithmetic number, because the mean of its divisors is an integer number (132368544).

Almost surely, 28830297920 is an apocalyptic number.

8830297920 is a gapful number since it is divisible by the number (80) 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 8830297920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14825276928).

8830297920 is an abundant number, since it is smaller than the sum of its proper divisors (20820255936).

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

8830297920 is a wasteful number, since it uses less digits than its factorization.

8830297920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7329 (or 7319 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 8830297920 is about 93969.6648924535. The cubic root of 8830297920 is about 2066.9269062967.

The spelling of 8830297920 in words is "eight billion, eight hundred thirty million, two hundred ninety-seven thousand, nine hundred twenty".