Search a number
-
+
2611242630 = 233571913451
BaseRepresentation
bin1001101110100100…
…0110011010000110
320201222111212111000
42123221012122012
520321434231010
61111035554130
7121465124163
oct23351063206
96658455430
102611242630
11111aa84267
1260a5bb946
13327cab2a9
141aab2b06a
151043a17c0
hex9ba46686

2611242630 has 64 divisors (see below), whose sum is σ = 6973516800. Its totient is φ = 695311200.

The previous prime is 2611242629. The next prime is 2611242643. The reversal of 2611242630 is 362421162.

2611242630 is a `hidden beast` number, since 2 + 6 + 1 + 1 + 24 + 2 + 630 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2611242594 and 2611242603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187405 + ... + 200855.

It is an arithmetic number, because the mean of its divisors is an integer number (108961200).

Almost surely, 22611242630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2611242630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3486758400).

2611242630 is an abundant number, since it is smaller than the sum of its proper divisors (4362274170).

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

2611242630 is a wasteful number, since it uses less digits than its factorization.

2611242630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14186 (or 14180 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2611242630 is about 51100.3192749321. The cubic root of 2611242630 is about 1377.0479903153.

Adding to 2611242630 its reverse (362421162), we get a palindrome (2973663792).

The spelling of 2611242630 in words is "two billion, six hundred eleven million, two hundred forty-two thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 719 1438 2157 3595 4314 6471 7190 10785 12942 13451 19413 21570 26902 32355 38826 40353 64710 67255 80706 97065 121059 134510 194130 201765 242118 363177 403530 605295 726354 1210590 1815885 3631770 9671269 19342538 29013807 48356345 58027614 87041421 96712690 145069035 174082842 261124263 290138070 435207105 522248526 870414210 1305621315 2611242630