Search a number
-
+
12261060 = 22325737263
BaseRepresentation
bin101110110001…
…011011000100
3212001221000100
4232301123010
511114323220
61114444100
7206134350
oct56613304
925057010
1012261060
116a14a09
124133630
132703a86
1418b2460
151122d90
hexbb16c4

12261060 has 144 divisors (see below), whose sum is σ = 43819776. Its totient is φ = 2716416.

The previous prime is 12261059. The next prime is 12261077. The reversal of 12261060 is 6016221.

It is a happy number.

12261060 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46489 + ... + 46751.

It is an arithmetic number, because the mean of its divisors is an integer number (304304).

Almost surely, 212261060 is an apocalyptic number.

12261060 is a gapful number since it is divisible by the number (10) 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 12261060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21909888).

12261060 is an abundant number, since it is smaller than the sum of its proper divisors (31558716).

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

12261060 is a wasteful number, since it uses less digits than its factorization.

12261060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 12261060 is about 3501.5796435323. The cubic root of 12261060 is about 230.5911698235.

Adding to 12261060 its reverse (6016221), we get a palindrome (18277281).

The spelling of 12261060 in words is "twelve million, two hundred sixty-one thousand, sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 37 42 45 60 63 70 74 84 90 105 111 126 140 148 180 185 210 222 252 259 263 315 333 370 420 444 518 526 555 630 666 740 777 789 1036 1052 1110 1260 1295 1315 1332 1554 1578 1665 1841 2220 2331 2367 2590 2630 3108 3156 3330 3682 3885 3945 4662 4734 5180 5260 5523 6660 7364 7770 7890 9205 9324 9468 9731 11046 11655 11835 15540 15780 16569 18410 19462 22092 23310 23670 27615 29193 33138 36820 38924 46620 47340 48655 55230 58386 66276 68117 82845 87579 97310 110460 116772 136234 145965 165690 175158 194620 204351 272468 291930 331380 340585 350316 408702 437895 583860 613053 681170 817404 875790 1021755 1226106 1362340 1751580 2043510 2452212 3065265 4087020 6130530 12261060