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9953280 = 213355

9953280 has 168 divisors, whose sum is σ = 35780472. Its totient is φ = 2654208.

The previous prime is 9953261. The next prime is 9953287. The reversal of 9953280 is 823599.

9953280 divided by its product of nonzero digits (19440) gives a 9-th power (512 = 29).

It is a Jordan-Polya number, since it can be written as 6! ⋅ (4!)3.

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

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9953287) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1990654 + ... + 1990658.

It is an arithmetic number, because the mean of its divisors is an integer number (212979).

Almost surely, 29953280 is an apocalyptic number.

9953280 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 9953280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17890236).

9953280 is an abundant number, since it is smaller than the sum of its proper divisors (25827192).

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

9953280 is an frugal number, since it uses more digits than its factorization.

9953280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 9953280 is about 3154.8819312298. The cubic root of 9953280 is about 215.1074278347.

The spelling of 9953280 in words is "nine million, nine hundred fifty-three thousand, two hundred eighty".