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9880416 = 2532713229
BaseRepresentation
bin100101101100…
…001101100000
3200120222101100
4211230031200
510012133131
6551434400
7146660610
oct45541540
920528340
109880416
115639337
123385a00
13207c300
141452a40
15d027e6
hex96c360

9880416 has 216 divisors, whose sum is σ = 35970480. Its totient is φ = 2515968.

The previous prime is 9880391. The next prime is 9880421. The reversal of 9880416 is 6140889.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 340690 + ... + 340718.

It is an arithmetic number, because the mean of its divisors is an integer number (166530).

Almost surely, 29880416 is an apocalyptic number.

9880416 is a gapful number since it is divisible by the number (96) 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 9880416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17985240).

9880416 is an abundant number, since it is smaller than the sum of its proper divisors (26090064).

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

9880416 is a wasteful number, since it uses less digits than its factorization.

9880416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 9880416 is about 3143.3129020191. The cubic root of 9880416 is about 214.5812364475.

It can be divided in two parts, 9880 and 416, that added together give a triangular number (10296 = T143).

The spelling of 9880416 in words is "nine million, eight hundred eighty thousand, four hundred sixteen".