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10107747 = 341329331
BaseRepresentation
bin100110100011…
…101101100011
3201000112020000
4212203231203
510041421442
61000351043
7151625436
oct46435543
921015200
1010107747
115784111
123475483
13212b920
1414b181d
15d49d4c
hex9a3b63

10107747 has 40 divisors (see below), whose sum is σ = 16872240. Its totient is φ = 5987520.

The previous prime is 10107743. The next prime is 10107749. The reversal of 10107747 is 74770101.

It is not a de Polignac number, because 10107747 - 22 = 10107743 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 10107747.

It is not an unprimeable number, because it can be changed into a prime (10107743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30372 + ... + 30702.

It is an arithmetic number, because the mean of its divisors is an integer number (421806).

Almost surely, 210107747 is an apocalyptic number.

10107747 is a deficient number, since it is larger than the sum of its proper divisors (6764493).

10107747 is a wasteful number, since it uses less digits than its factorization.

10107747 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 1372, while the sum is 27.

The square root of 10107747 is about 3179.2683120492. The cubic root of 10107747 is about 216.2144860209.

Adding to 10107747 its reverse (74770101), we get a palindrome (84877848).

It can be divided in two parts, 101077 and 47, that added together give a square (101124 = 3182).

The spelling of 10107747 in words is "ten million, one hundred seven thousand, seven hundred forty-seven".

Divisors: 1 3 9 13 27 29 39 81 87 117 261 331 351 377 783 993 1053 1131 2349 2979 3393 4303 8937 9599 10179 12909 26811 28797 30537 38727 86391 116181 124787 259173 348543 374361 777519 1123083 3369249 10107747