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10361442 = 2372132711
BaseRepresentation
bin100111100001…
…101001100010
3201111102020010
4213201221202
510123031232
61010025350
7154033200
oct47415142
921442203
1010361442
115937783
123578256
1321ba240
14153a070
15d9a0cc
hex9e1a62

10361442 has 48 divisors (see below), whose sum is σ = 25970112. Its totient is φ = 2731680.

The previous prime is 10361437. The next prime is 10361453. The reversal of 10361442 is 24416301.

It is a super-3 number, since 3×103614423 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2467 + ... + 5177.

It is an arithmetic number, because the mean of its divisors is an integer number (541044).

Almost surely, 210361442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10361442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12985056).

10361442 is an abundant number, since it is smaller than the sum of its proper divisors (15608670).

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

10361442 is a wasteful number, since it uses less digits than its factorization.

10361442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2743 (or 2736 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 10361442 is about 3218.9193838927. The cubic root of 10361442 is about 218.0084866095.

Adding to 10361442 its reverse (24416301), we get a palindrome (34777743).

The spelling of 10361442 in words is "ten million, three hundred sixty-one thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 91 98 147 182 273 294 546 637 1274 1911 2711 3822 5422 8133 16266 18977 35243 37954 56931 70486 105729 113862 132839 211458 246701 265678 398517 493402 740103 797034 1480206 1726907 3453814 5180721 10361442