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10023993 = 3577183
BaseRepresentation
bin100110001111…
…010000111001
3200212021100000
4212033100321
510031231433
6554503213
7151126320
oct46172071
920767300
1010023993
1157271a1
123434b09
1320cc775
14148d0b7
15d30113
hex98f439

10023993 has 48 divisors (see below), whose sum is σ = 17611776. Its totient is φ = 5579280.

The previous prime is 10023991. The next prime is 10024009. The reversal of 10023993 is 39932001.

10023993 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 not a de Polignac number, because 10023993 - 21 = 10023991 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10023991) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120730 + ... + 120812.

It is an arithmetic number, because the mean of its divisors is an integer number (366912).

Almost surely, 210023993 is an apocalyptic number.

It is an amenable number.

10023993 is a deficient number, since it is larger than the sum of its proper divisors (7587783).

10023993 is an frugal number, since it uses more digits than its factorization.

10023993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 10023993 is about 3166.0690137772. The cubic root of 10023993 is about 215.6156358882.

Adding to 10023993 its reverse (39932001), we get a palindrome (49955994).

The spelling of 10023993 in words is "ten million, twenty-three thousand, nine hundred ninety-three".

Divisors: 1 3 7 9 21 27 63 71 81 83 189 213 243 249 497 567 581 639 747 1491 1701 1743 1917 2241 4473 5229 5751 5893 6723 13419 15687 17253 17679 20169 40257 41251 47061 53037 120771 123753 141183 159111 371259 477333 1113777 1431999 3341331 10023993