Search a number
-
+
541100010 = 2351112712911
BaseRepresentation
bin100000010000001…
…000011111101010
31101201011201200010
4200100020133222
52102010200020
6125405352350
716260163023
oct4020103752
91351151603
10541100010
112584894a0
121312686b6
1388145529
1451c13c4a
1532785de0
hex204087ea

541100010 has 64 divisors (see below), whose sum is σ = 1427963904. Its totient is φ = 130132800.

The previous prime is 541099967. The next prime is 541100041. The reversal of 541100010 is 10001145.

It is a happy number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 35455 + ... + 48365.

It is an arithmetic number, because the mean of its divisors is an integer number (22311936).

Almost surely, 2541100010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541100010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713981952).

541100010 is an abundant number, since it is smaller than the sum of its proper divisors (886863894).

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

541100010 is a wasteful number, since it uses less digits than its factorization.

541100010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13059.

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 541100010 is about 23261.5564827464. The cubic root of 541100010 is about 814.8778518936.

Adding to 541100010 its reverse (10001145), we get a palindrome (551101155).

The spelling of 541100010 in words is "five hundred forty-one million, one hundred thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 127 165 254 330 381 635 762 1270 1397 1905 2794 3810 4191 6985 8382 12911 13970 20955 25822 38733 41910 64555 77466 129110 142021 193665 284042 387330 426063 710105 852126 1420210 1639697 2130315 3279394 4260630 4919091 8198485 9838182 16396970 18036667 24595455 36073334 49190910 54110001 90183335 108220002 180366670 270550005 541100010