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BaseRepresentation
bin100110000001…
…000100111000
3200202022121200
4212001010320
510022402010
6553334200
7150465021
oct46010470
920668550
109965880
115697571
123407360
1320ac192
141475c48
15d1ccc0
hex981138

9965880 has 192 divisors, whose sum is σ = 35942400. Its totient is φ = 2384640.

The previous prime is 9965869. The next prime is 9965881. The reversal of 9965880 is 885699.

9965880 is a nontrivial binomial coefficient, being equal to C(4465, 2).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9965881) 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, 212017 + ... + 212063.

It is an arithmetic number, because the mean of its divisors is an integer number (187200).

Almost surely, 29965880 is an apocalyptic number.

9965880 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9965880 is the 4464-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9965880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17971200).

9965880 is an abundant number, since it is smaller than the sum of its proper divisors (25976520).

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

9965880 is a wasteful number, since it uses less digits than its factorization.

9965880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 9965880 is about 3156.8782048093. The cubic root of 9965880 is about 215.1981587530.

The spelling of 9965880 in words is "nine million, nine hundred sixty-five thousand, eight hundred eighty".