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10042149 = 313229683
BaseRepresentation
bin100110010011…
…101100100101
3200220012020110
4212103230211
510032322044
6555123233
7151233255
oct46235445
920805213
1010042149
1157398a7
123443519
132107b00
141495965
15d356b9
hex993b25

10042149 has 24 divisors (see below), whose sum is σ = 15020640. Its totient is φ = 5957952.

The previous prime is 10042147. The next prime is 10042157. The reversal of 10042149 is 94124001.

10042149 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 10042149 - 21 = 10042147 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10042141) 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, 14362 + ... + 15044.

It is an arithmetic number, because the mean of its divisors is an integer number (625860).

Almost surely, 210042149 is an apocalyptic number.

It is an amenable number.

10042149 is a deficient number, since it is larger than the sum of its proper divisors (4978491).

10042149 is a wasteful number, since it uses less digits than its factorization.

10042149 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 10042149 is about 3168.9349945999. The cubic root of 10042149 is about 215.7457356181.

The spelling of 10042149 in words is "ten million, forty-two thousand, one hundred forty-nine".

Divisors: 1 3 13 29 39 87 169 377 507 683 1131 2049 4901 8879 14703 19807 26637 59421 115427 257491 346281 772473 3347383 10042149