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9928920 = 233597853
BaseRepresentation
bin100101111000…
…000011011000
3200200102220210
4211320003120
510020211140
6552451120
7150252201
oct45700330
920612823
109928920
115671821
1233a9aa0
132098401
1414665a8
15d11d80
hex9780d8

9928920 has 64 divisors (see below), whose sum is σ = 30129120. Its totient is φ = 2617344.

The previous prime is 9928907. The next prime is 9928927. The reversal of 9928920 is 298299.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9928927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11214 + ... + 12066.

Almost surely, 29928920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9928920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15064560).

9928920 is an abundant number, since it is smaller than the sum of its proper divisors (20200200).

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

9928920 is a wasteful number, since it uses less digits than its factorization.

9928920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 9928920 is about 3151.0188828377. The cubic root of 9928920 is about 214.9317973682.

The spelling of 9928920 in words is "nine million, nine hundred twenty-eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 97 120 194 291 388 485 582 776 853 970 1164 1455 1706 1940 2328 2559 2910 3412 3880 4265 5118 5820 6824 8530 10236 11640 12795 17060 20472 25590 34120 51180 82741 102360 165482 248223 330964 413705 496446 661928 827410 992892 1241115 1654820 1985784 2482230 3309640 4964460 9928920