Search a number
-
+
2601136530 = 2335311272447
BaseRepresentation
bin1001101100001010…
…0011000110010010
320201021111102112000
42123002203012102
520311342332110
61110035214430
7121313203266
oct23302430622
96637442460
102601136530
111115301413
12607147416
13325b80355
141a965a0a6
151035571c0
hex9b0a3192

2601136530 has 128 divisors (see below), whose sum is σ = 7219445760. Its totient is φ = 665703360.

The previous prime is 2601136501. The next prime is 2601136543. The reversal of 2601136530 is 356311062.

2601136530 is a `hidden beast` number, since 2 + 6 + 0 + 1 + 1 + 3 + 653 + 0 = 666.

It is a super-2 number, since 2×26011365302 = 13531822495400881800, which contains 22 as substring.

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 = 2601136494 and 2601136503.

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 63 ways as a sum of consecutive naturals, for example, 1061767 + ... + 1064213.

It is an arithmetic number, because the mean of its divisors is an integer number (56401920).

Almost surely, 22601136530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2601136530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3609722880).

2601136530 is an abundant number, since it is smaller than the sum of its proper divisors (4618309230).

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

2601136530 is a wasteful number, since it uses less digits than its factorization.

2601136530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2621 (or 2615 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 2601136530 is about 51001.3385118469. The cubic root of 2601136530 is about 1375.2691977613.

Adding to 2601136530 its reverse (356311062), we get a palindrome (2957447592).

The spelling of 2601136530 in words is "two billion, six hundred one million, one hundred thirty-six thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 90 93 127 135 155 186 254 270 279 310 381 465 558 635 762 837 930 1143 1270 1395 1674 1905 2286 2447 2790 3429 3810 3937 4185 4894 5715 6858 7341 7874 8370 11430 11811 12235 14682 17145 19685 22023 23622 24470 34290 35433 36705 39370 44046 59055 66069 70866 73410 75857 106299 110115 118110 132138 151714 177165 212598 220230 227571 310769 330345 354330 379285 455142 531495 621538 660690 682713 758570 932307 1062990 1137855 1365426 1553845 1864614 2048139 2275710 2796921 3107690 3413565 4096278 4661535 5593842 6827130 8390763 9323070 9633839 10240695 13984605 16781526 19267678 20481390 27969210 28901517 41953815 48169195 57803034 83907630 86704551 96338390 144507585 173409102 260113653 289015170 433522755 520227306 867045510 1300568265 2601136530