Search a number
-
+
8405068 = 2272193761
BaseRepresentation
bin100000000100…
…000001001100
3120211000120211
4200010001030
54122430233
6500052204
7131304400
oct40040114
916730524
108405068
114820941
122994064
131983919
14118b100
15b105cd
hex80404c

8405068 has 72 divisors (see below), whose sum is σ = 18800880. Its totient is φ = 3265920.

The previous prime is 8405063. The next prime is 8405077. The reversal of 8405068 is 8605048.

It is not an unprimeable number, because it can be changed into a prime (8405063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137758 + ... + 137818.

Almost surely, 28405068 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8405068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9400440).

8405068 is an abundant number, since it is smaller than the sum of its proper divisors (10395812).

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

8405068 is a wasteful number, since it uses less digits than its factorization.

8405068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 8405068 is about 2899.1495304658. The cubic root of 8405068 is about 203.3201448641.

The spelling of 8405068 in words is "eight million, four hundred five thousand, sixty-eight".

Divisors: 1 2 4 7 14 19 28 37 38 49 61 74 76 98 122 133 148 196 244 259 266 427 518 532 703 854 931 1036 1159 1406 1708 1813 1862 2257 2318 2812 2989 3626 3724 4514 4636 4921 5978 7252 8113 9028 9842 11956 15799 16226 19684 31598 32452 34447 42883 56791 63196 68894 85766 110593 113582 137788 171532 221186 227164 300181 442372 600362 1200724 2101267 4202534 8405068