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10039905 = 325472101
BaseRepresentation
bin100110010011…
…001001100001
3200220002011100
4212103021201
510032234110
6555105013
7151223601
oct46231141
920802140
1010039905
115738147
123442169
132106a95
141494c01
15d34bc0
hex993261

10039905 has 36 divisors (see below), whose sum is σ = 17956692. Its totient is φ = 5188800.

The previous prime is 10039879. The next prime is 10039907. The reversal of 10039905 is 50993001.

It can be written as a sum of positive squares in 2 ways, for example, as 7177041 + 2862864 = 2679^2 + 1692^2 .

It is not a de Polignac number, because 10039905 - 28 = 10039649 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10039907) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 99355 + ... + 99455.

It is an arithmetic number, because the mean of its divisors is an integer number (498797).

Almost surely, 210039905 is an apocalyptic number.

10039905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10039905 is a deficient number, since it is larger than the sum of its proper divisors (7916787).

10039905 is a wasteful number, since it uses less digits than its factorization.

10039905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 1215, while the sum is 27.

The square root of 10039905 is about 3168.5809126484. The cubic root of 10039905 is about 215.7296643736.

The spelling of 10039905 in words is "ten million, thirty-nine thousand, nine hundred five".

Divisors: 1 3 5 9 15 45 47 101 141 235 303 423 505 705 909 1515 2115 2209 4545 4747 6627 11045 14241 19881 23735 33135 42723 71205 99405 213615 223109 669327 1115545 2007981 3346635 10039905