Search a number
-
+
8306740 = 2251343743
BaseRepresentation
bin11111101100000000110100
3120122000201001
4133230000310
54111303430
6454013044
7130414621
oct37540064
916560631
108306740
114763a82
122947184
13194ac40
141163348
15ae13ca
hex7ec034

8306740 has 48 divisors (see below), whose sum is σ = 19248768. Its totient is φ = 2991744.

The previous prime is 8306717. The next prime is 8306741. The reversal of 8306740 is 476038.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 8306699 and 8306708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8306741) 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 15 ways as a sum of consecutive naturals, for example, 10809 + ... + 11551.

It is an arithmetic number, because the mean of its divisors is an integer number (401016).

Almost surely, 28306740 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 8306740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9624384).

8306740 is an abundant number, since it is smaller than the sum of its proper divisors (10942028).

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

8306740 is a wasteful number, since it uses less digits than its factorization.

8306740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 8306740 is about 2882.1415648784. The cubic root of 8306740 is about 202.5241753386.

The spelling of 8306740 in words is "eight million, three hundred six thousand, seven hundred forty".

Divisors: 1 2 4 5 10 13 20 26 43 52 65 86 130 172 215 260 430 559 743 860 1118 1486 2236 2795 2972 3715 5590 7430 9659 11180 14860 19318 31949 38636 48295 63898 96590 127796 159745 193180 319490 415337 638980 830674 1661348 2076685 4153370 8306740