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12308580 = 22325195961
BaseRepresentation
bin101110111101…
…000001100100
3212011100012100
4232331001210
511122333310
61115452100
7206423034
oct56750144
925140170
1012308580
116a47689
124157030
13271c5ab
1418c58c4
151131ec0
hexbbd064

12308580 has 144 divisors (see below), whose sum is σ = 40622400. Its totient is φ = 3006720.

The previous prime is 12308579. The next prime is 12308587. The reversal of 12308580 is 8580321.

It is a happy number.

12308580 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 super-2 number, since 2×123085802 = 303002283232800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12308587) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 201750 + ... + 201810.

It is an arithmetic number, because the mean of its divisors is an integer number (282100).

Almost surely, 212308580 is an apocalyptic number.

12308580 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 12308580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20311200).

12308580 is an abundant number, since it is smaller than the sum of its proper divisors (28313820).

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

12308580 is a wasteful number, since it uses less digits than its factorization.

12308580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 12308580 is about 3508.3585905662. The cubic root of 12308580 is about 230.8886853348. Note that the first 3 decimals are identical.

The spelling of 12308580 in words is "twelve million, three hundred eight thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 59 60 61 76 90 95 114 118 122 171 177 180 183 190 228 236 244 285 295 305 342 354 366 380 531 549 570 590 610 684 708 732 855 885 915 1062 1098 1121 1140 1159 1180 1220 1710 1770 1830 2124 2196 2242 2318 2655 2745 3363 3420 3477 3540 3599 3660 4484 4636 5310 5490 5605 5795 6726 6954 7198 10089 10431 10620 10797 10980 11210 11590 13452 13908 14396 16815 17385 17995 20178 20862 21594 22420 23180 32391 33630 34770 35990 40356 41724 43188 50445 52155 53985 64782 67260 68381 69540 71980 100890 104310 107970 129564 136762 161955 201780 205143 208620 215940 273524 323910 341905 410286 615429 647820 683810 820572 1025715 1230858 1367620 2051430 2461716 3077145 4102860 6154290 12308580