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9914400 = 25365217
BaseRepresentation
bin100101110100…
…100000100000
3200122201000000
4211310200200
510014230100
6552300000
7150161646
oct45644040
920581000
109914400
115661921
1233a1600
132091912
141461196
15d0c900
hex974820

9914400 has 252 divisors, whose sum is σ = 38423322. Its totient is φ = 2488320.

The previous prime is 9914363. The next prime is 9914407. The reversal of 9914400 is 44199.

It can be written as a sum of positive squares in 3 ways, for example, as 8503056 + 1411344 = 2916^2 + 1188^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9914407) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 583192 + ... + 583208.

Almost surely, 29914400 is an apocalyptic number.

9914400 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 9914400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19211661).

9914400 is an abundant number, since it is smaller than the sum of its proper divisors (28508922).

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

9914400 is a wasteful number, since it uses less digits than its factorization.

9914400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 9914400 is about 3148.7140232165. The cubic root of 9914400 is about 214.8269745469.

The spelling of 9914400 in words is "nine million, nine hundred fourteen thousand, four hundred".