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10106397 = 33727639
BaseRepresentation
bin100110100011…
…011000011101
3201000110101000
4212203120131
510041401042
61000340513
7151621500
oct46433035
921013330
1010106397
1157830a4
123474739
13212b122
1414b1137
15d4974c
hex9a361d

10106397 has 24 divisors (see below), whose sum is σ = 17419200. Its totient is φ = 5774328.

The previous prime is 10106389. The next prime is 10106399. The reversal of 10106397 is 79360101.

10106397 is a `hidden beast` number, since 10 + 10 + 639 + 7 = 666.

10106397 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10106397 - 23 = 10106389 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10106397.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10106399) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2497 + ... + 5142.

It is an arithmetic number, because the mean of its divisors is an integer number (725800).

Almost surely, 210106397 is an apocalyptic number.

It is an amenable number.

10106397 is a deficient number, since it is larger than the sum of its proper divisors (7312803).

10106397 is an equidigital number, since it uses as much as digits as its factorization.

10106397 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7662 (or 7649 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 10106397 is about 3179.0559919574. The cubic root of 10106397 is about 216.2048596570.

Adding to 10106397 its reverse (79360101), we get a palindrome (89466498).

The spelling of 10106397 in words is "ten million, one hundred six thousand, three hundred ninety-seven".

Divisors: 1 3 7 9 21 27 49 63 147 189 441 1323 7639 22917 53473 68751 160419 206253 374311 481257 1122933 1443771 3368799 10106397