Search a number
-
+
109142946 = 232111573511
BaseRepresentation
bin1101000000101…
…10001110100010
321121101000222100
412200112032202
5210420033241
614455151230
72463462003
oct640261642
9247330870
10109142946
1156676790
1230675516
13197c5233
14106d11aa
1598ad9b6
hex68163a2

109142946 has 48 divisors (see below), whose sum is σ = 259691328. Its totient is φ = 32853600.

The previous prime is 109142927. The next prime is 109142959. The reversal of 109142946 is 649241901.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 109142946.

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, 29331 + ... + 32841.

It is an arithmetic number, because the mean of its divisors is an integer number (5410236).

Almost surely, 2109142946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109142946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129845664).

109142946 is an abundant number, since it is smaller than the sum of its proper divisors (150548382).

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

109142946 is a wasteful number, since it uses less digits than its factorization.

109142946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3687 (or 3684 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 109142946 is about 10447.1501377170. The cubic root of 109142946 is about 477.8943441601.

The spelling of 109142946 in words is "one hundred nine million, one hundred forty-two thousand, nine hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 157 198 314 471 942 1413 1727 2826 3454 3511 5181 7022 10362 10533 15543 21066 31086 31599 38621 63198 77242 115863 231726 347589 551227 695178 1102454 1653681 3307362 4961043 6063497 9922086 12126994 18190491 36380982 54571473 109142946