Search a number
-
+
4099914 = 2327132503
BaseRepresentation
bin1111101000111101001010
321201022000200
433220331022
52022144124
6223513030
746564050
oct17507512
97638020
104099914
112350365
121458776
13b071b0
1478a1d0
1555ebc9
hex3e8f4a

4099914 has 48 divisors (see below), whose sum is σ = 10937472. Its totient is φ = 1080864.

The previous prime is 4099903. The next prime is 4099943. The reversal of 4099914 is 4199904.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 387 + ... + 2889.

It is an arithmetic number, because the mean of its divisors is an integer number (227864).

Almost surely, 24099914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4099914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5468736).

4099914 is an abundant number, since it is smaller than the sum of its proper divisors (6837558).

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

4099914 is a wasteful number, since it uses less digits than its factorization.

4099914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2531 (or 2528 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 4099914 is about 2024.8244368340. The cubic root of 4099914 is about 160.0509473173.

The spelling of 4099914 in words is "four million, ninety-nine thousand, nine hundred fourteen".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 546 819 1638 2503 5006 7509 15018 17521 22527 32539 35042 45054 52563 65078 97617 105126 157689 195234 227773 292851 315378 455546 585702 683319 1366638 2049957 4099914