Search a number
-
+
726740130 = 235311734517
BaseRepresentation
bin101011010100010…
…010110010100010
31212122111020001010
4223110102302202
52442021141010
6200040321350
724003121614
oct5324226242
91778436033
10726740130
11343253686
12183473256
13b774265c
146c738db4
1543c05620
hex2b512ca2

726740130 has 64 divisors (see below), whose sum is σ = 1811248128. Its totient is φ = 186420480.

The previous prime is 726740093. The next prime is 726740143. The reversal of 726740130 is 31047627.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 158632 + ... + 163148.

It is an arithmetic number, because the mean of its divisors is an integer number (28300752).

Almost surely, 2726740130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 726740130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905624064).

726740130 is an abundant number, since it is smaller than the sum of its proper divisors (1084507998).

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

726740130 is a wasteful number, since it uses less digits than its factorization.

726740130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4731.

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 726740130 is about 26958.1180722987. The cubic root of 726740130 is about 899.0690497128.

Adding to 726740130 its reverse (31047627), we get a palindrome (757787757).

The spelling of 726740130 in words is "seven hundred twenty-six million, seven hundred forty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 173 186 310 346 465 519 865 930 1038 1730 2595 4517 5190 5363 9034 10726 13551 16089 22585 26815 27102 32178 45170 53630 67755 80445 135510 140027 160890 280054 420081 700135 781441 840162 1400270 1562882 2100405 2344323 3907205 4200810 4688646 7814410 11721615 23443230 24224671 48449342 72674013 121123355 145348026 242246710 363370065 726740130