Search a number
-
+
4117730860 = 2254113138333
BaseRepresentation
bin1111010101101111…
…1001011000101100
3101121222020101211101
43311123321120230
531413114341420
61520333132444
7204020064145
oct36533713054
911558211741
104117730860
111823396161
1296b02a124
13508132849
142b0c3cacc
1519177d60a
hexf56f962c

4117730860 has 48 divisors (see below), whose sum is σ = 8925995232. Its totient is φ = 1594611200.

The previous prime is 4117730821. The next prime is 4117730861. The reversal of 4117730860 is 680377114.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (4117730861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88254 + ... + 126586.

It is an arithmetic number, because the mean of its divisors is an integer number (185958234).

Almost surely, 24117730860 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 4117730860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4462997616).

4117730860 is an abundant number, since it is smaller than the sum of its proper divisors (4808264372).

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

4117730860 is a wasteful number, since it uses less digits than its factorization.

4117730860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38514 (or 38512 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 37.

The square root of 4117730860 is about 64169.5477621590. The cubic root of 4117730860 is about 1602.8245498272.

The spelling of 4117730860 in words is "four billion, one hundred seventeen million, seven hundred thirty thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 20 41 82 131 164 205 262 410 524 655 820 1310 2620 5371 10742 21484 26855 38333 53710 76666 107420 153332 191665 383330 766660 1571653 3143306 5021623 6286612 7858265 10043246 15716530 20086492 25108115 31433060 50216230 100432460 205886543 411773086 823546172 1029432715 2058865430 4117730860