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9938880 = 2632571729
BaseRepresentation
bin100101111010…
…011111000000
3200200221120200
4211322133000
510021021010
6553005200
7150323220
oct45723700
920627520
109938880
115679256
1233b3800
13209cac3
14146a080
15d14cc0
hex97a7c0

9938880 has 336 divisors, whose sum is σ = 42793920. Its totient is φ = 2064384.

The previous prime is 9938869. The next prime is 9938899. The reversal of 9938880 is 888399.

9938880 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 342706 + ... + 342734.

Almost surely, 29938880 is an apocalyptic number.

9938880 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 9938880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21396960).

9938880 is an abundant number, since it is smaller than the sum of its proper divisors (32855040).

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

9938880 is a wasteful number, since it uses less digits than its factorization.

9938880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 9938880 is about 3152.5989278689. The cubic root of 9938880 is about 215.0036415464.

The spelling of 9938880 in words is "nine million, nine hundred thirty-eight thousand, eight hundred eighty".