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9923920 = 245177297
BaseRepresentation
bin100101110110…
…110101010000
3200200012001121
4211312311100
510020031140
6552412024
7150231466
oct45666520
920605047
109923920
115668a96
1233a7014
132096056
141464836
15d1064a
hex976d50

9923920 has 40 divisors (see below), whose sum is σ = 24433704. Its totient is φ = 3735552.

The previous prime is 9923911. The next prime is 9923923. The reversal of 9923920 is 293299.

9923920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1420864 + 8503056 = 1192^2 + 2916^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9923923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2289 + ... + 5008.

Almost surely, 29923920 is an apocalyptic number.

It is an amenable number.

9923920 is an abundant number, since it is smaller than the sum of its proper divisors (14509784).

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

9923920 is a wasteful number, since it uses less digits than its factorization.

9923920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7327 (or 7321 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 34.

The square root of 9923920 is about 3150.2253887619. The cubic root of 9923920 is about 214.8957128988.

The spelling of 9923920 in words is "nine million, nine hundred twenty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 7297 14594 29188 36485 58376 72970 116752 124049 145940 248098 291880 496196 583760 620245 992392 1240490 1984784 2480980 4961960 9923920