Search a number
-
+
8436740 = 2251337877
BaseRepresentation
bin100000001011…
…110000000100
3120212122000212
4200023300010
54124433430
6500454552
7131465624
oct40136004
916778025
108436740
114842714
1229aa458
131995170
141198884
15b19b95
hex80bc04

8436740 has 48 divisors (see below), whose sum is σ = 19618032. Its totient is φ = 3027456.

The previous prime is 8436739. The next prime is 8436749. The reversal of 8436740 is 476348.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 188356 + 8248384 = 434^2 + 2872^2 .

It is a junction number, because it is equal to n+sod(n) for n = 8436697 and 8436706.

It is not an unprimeable number, because it can be changed into a prime (8436749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9182 + ... + 10058.

It is an arithmetic number, because the mean of its divisors is an integer number (408709).

Almost surely, 28436740 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 8436740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9809016).

8436740 is an abundant number, since it is smaller than the sum of its proper divisors (11181292).

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

8436740 is a wasteful number, since it uses less digits than its factorization.

8436740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 8436740 is about 2904.6066859387. The cubic root of 8436740 is about 203.5752085947.

The spelling of 8436740 in words is "eight million, four hundred thirty-six thousand, seven hundred forty".

Divisors: 1 2 4 5 10 13 20 26 37 52 65 74 130 148 185 260 370 481 740 877 962 1754 1924 2405 3508 4385 4810 8770 9620 11401 17540 22802 32449 45604 57005 64898 114010 129796 162245 228020 324490 421837 648980 843674 1687348 2109185 4218370 8436740