Search a number
-
+
10169874 = 2341113439
BaseRepresentation
bin100110110010…
…111000010010
3201010200110000
4212302320102
510100413444
61001550430
7152304531
oct46627022
921120400
1010169874
115816860
1234a5416
132150ca0
1414ca318
15d5d469
hex9b2e12

10169874 has 80 divisors (see below), whose sum is σ = 26832960. Its totient is φ = 2838240.

The previous prime is 10169867. The next prime is 10169879. The reversal of 10169874 is 47896101.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10169879) 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 39 ways as a sum of consecutive naturals, for example, 22947 + ... + 23385.

It is an arithmetic number, because the mean of its divisors is an integer number (335412).

Almost surely, 210169874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10169874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13416480).

10169874 is an abundant number, since it is smaller than the sum of its proper divisors (16663086).

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

10169874 is a wasteful number, since it uses less digits than its factorization.

10169874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 10169874 is about 3189.0239886210. The cubic root of 10169874 is about 216.6565670506.

The spelling of 10169874 in words is "ten million, one hundred sixty-nine thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 81 99 117 143 162 198 234 286 297 351 429 439 594 702 858 878 891 1053 1287 1317 1782 2106 2574 2634 3861 3951 4829 5707 7722 7902 9658 11414 11583 11853 14487 17121 23166 23706 28974 34242 35559 43461 51363 62777 71118 86922 102726 125554 130383 154089 188331 260766 308178 376662 391149 462267 564993 782298 924534 1129986 1694979 3389958 5084937 10169874