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10299042 = 2331317863
BaseRepresentation
bin100111010010…
…011010100010
3201101020122000
4213102122202
510114032132
61004424430
7153353235
oct47223242
921336560
1010299042
1158a4906
123548116
132197a10
14152141c
15d8687c
hex9d26a2

10299042 has 64 divisors (see below), whose sum is σ = 26127360. Its totient is φ = 2979072.

The previous prime is 10299019. The next prime is 10299049. The reversal of 10299042 is 24099201.

It is a super-2 number, since 2×102990422 = 212140532235528, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10298997 and 10299015.

It is not an unprimeable number, because it can be changed into a prime (10299049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11503 + ... + 12365.

It is an arithmetic number, because the mean of its divisors is an integer number (408240).

Almost surely, 210299042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10299042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13063680).

10299042 is an abundant number, since it is smaller than the sum of its proper divisors (15828318).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10299042 is a wasteful number, since it uses less digits than its factorization.

10299042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 10299042 is about 3209.2120528254. The cubic root of 10299042 is about 217.5699656004.

The spelling of 10299042 in words is "ten million, two hundred ninety-nine thousand, forty-two".

Divisors: 1 2 3 6 9 13 17 18 26 27 34 39 51 54 78 102 117 153 221 234 306 351 442 459 663 702 863 918 1326 1726 1989 2589 3978 5178 5967 7767 11219 11934 14671 15534 22438 23301 29342 33657 44013 46602 67314 88026 100971 132039 190723 201942 264078 302913 381446 396117 572169 605826 792234 1144338 1716507 3433014 5149521 10299042