Search a number
-
+
40019910 = 23571491279
BaseRepresentation
bin1001100010101…
…0011111000110
32210022012222220
42120222133012
540221114120
63545433210
7664110060
oct230523706
983265886
1040019910
1120654607
121149b806
1383a2928
14545a730
1537a7b40
hex262a7c6

40019910 has 64 divisors (see below), whose sum is σ = 110592000. Its totient is φ = 9078912.

The previous prime is 40019897. The next prime is 40019911. The reversal of 40019910 is 1991004.

40019910 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40019911) 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 31 ways as a sum of consecutive naturals, for example, 30651 + ... + 31929.

It is an arithmetic number, because the mean of its divisors is an integer number (1728000).

Almost surely, 240019910 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40019910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55296000).

40019910 is an abundant number, since it is smaller than the sum of its proper divisors (70572090).

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

40019910 is a wasteful number, since it uses less digits than its factorization.

40019910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445.

The product of its (nonzero) digits is 324, while the sum is 24.

The square root of 40019910 is about 6326.1291482233. The cubic root of 40019910 is about 342.0519226252.

The spelling of 40019910 in words is "forty million, nineteen thousand, nine hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 149 210 298 447 745 894 1043 1279 1490 2086 2235 2558 3129 3837 4470 5215 6258 6395 7674 8953 10430 12790 15645 17906 19185 26859 31290 38370 44765 53718 89530 134295 190571 268590 381142 571713 952855 1143426 1333997 1905710 2667994 2858565 4001991 5717130 6669985 8003982 13339970 20009955 40019910