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9997923 = 313269953
BaseRepresentation
bin100110001000…
…111001100011
3200210221120110
4212020321203
510024413143
6554142403
7150660315
oct46107143
920727513
109997923
115709651
123421a03
1320c0940
1414837b5
15d27533
hex988e63

9997923 has 16 divisors (see below), whose sum is σ = 14424480. Its totient is φ = 6123264.

The previous prime is 9997913. The next prime is 9997927. The reversal of 9997923 is 3297999.

It is a happy number.

9997923 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9997923 - 26 = 9997859 is a prime.

9997923 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (9997927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10015 + ... + 10967.

It is an arithmetic number, because the mean of its divisors is an integer number (901530).

Almost surely, 29997923 is an apocalyptic number.

9997923 is a deficient number, since it is larger than the sum of its proper divisors (4426557).

9997923 is a wasteful number, since it uses less digits than its factorization.

9997923 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238.

The product of its digits is 275562, while the sum is 48.

The square root of 9997923 is about 3161.9492405793. The cubic root of 9997923 is about 215.4285521009.

The spelling of 9997923 in words is "nine million, nine hundred ninety-seven thousand, nine hundred twenty-three".

Divisors: 1 3 13 39 269 807 953 2859 3497 10491 12389 37167 256357 769071 3332641 9997923