Search a number
-
+
2561234060 = 22571112591321
BaseRepresentation
bin1001100010101001…
…0101010010001100
320121111102011121202
42120222111102030
520221133442220
61102052045032
7120320062460
oct23052252214
96544364552
102561234060
1110a4828070
125b5903778
1331a81c018
141a42304a0
15eecc4275
hex98a9548c

2561234060 has 96 divisors (see below), whose sum is σ = 6716183040. Its totient is φ = 797068800.

The previous prime is 2561234057. The next prime is 2561234083. The reversal of 2561234060 is 604321652.

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, 1938200 + ... + 1939520.

It is an arithmetic number, because the mean of its divisors is an integer number (69960240).

Almost surely, 22561234060 is an apocalyptic number.

2561234060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2561234060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3358091520).

2561234060 is an abundant number, since it is smaller than the sum of its proper divisors (4154948980).

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

2561234060 is a wasteful number, since it uses less digits than its factorization.

2561234060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2607 (or 2605 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 2561234060 is about 50608.6362195228. The cubic root of 2561234060 is about 1368.2005358755.

The spelling of 2561234060 in words is "two billion, five hundred sixty-one million, two hundred thirty-four thousand, sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1259 1321 1540 2518 2642 5036 5284 6295 6605 8813 9247 12590 13210 13849 14531 17626 18494 25180 26420 27698 29062 35252 36988 44065 46235 55396 58124 69245 72655 88130 92470 96943 101717 138490 145310 176260 184940 193886 203434 276980 290620 387772 406868 484715 508585 969430 1017170 1663139 1938860 2034340 3326278 6652556 8315695 11641973 16631390 18294529 23283946 33262780 36589058 46567892 58209865 73178116 91472645 116419730 128061703 182945290 232839460 256123406 365890580 512246812 640308515 1280617030 2561234060