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12874260 = 22357229151
BaseRepresentation
bin110001000111…
…001000010100
3220020002011110
4301013020110
511243434020
61135535020
7214300200
oct61071024
926202143
1012874260
1172a3693
12438a470
132889c09
1419d1b00
1511e48e0
hexc47214

12874260 has 144 divisors (see below), whose sum is σ = 43666560. Its totient is φ = 2822400.

The previous prime is 12874259. The next prime is 12874291. The reversal of 12874260 is 6247821.

It is a super-3 number, since 3×128742603 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 85185 + ... + 85335.

It is an arithmetic number, because the mean of its divisors is an integer number (303240).

Almost surely, 212874260 is an apocalyptic number.

12874260 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 12874260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21833280).

12874260 is an abundant number, since it is smaller than the sum of its proper divisors (30792300).

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

12874260 is a wasteful number, since it uses less digits than its factorization.

12874260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 12874260 is about 3588.0719056340. The cubic root of 12874260 is about 234.3729169593.

The spelling of 12874260 in words is "twelve million, eight hundred seventy-four thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 29 30 35 42 49 58 60 70 84 87 98 105 116 140 145 147 151 174 196 203 210 245 290 294 302 348 406 420 435 453 490 580 588 604 609 735 755 812 870 906 980 1015 1057 1218 1421 1470 1510 1740 1812 2030 2114 2265 2436 2842 2940 3020 3045 3171 4060 4228 4263 4379 4530 5285 5684 6090 6342 7105 7399 8526 8758 9060 10570 12180 12684 13137 14210 14798 15855 17052 17516 21140 21315 21895 22197 26274 28420 29596 30653 31710 36995 42630 43790 44394 52548 61306 63420 65685 73990 85260 87580 88788 91959 110985 122612 131370 147980 153265 183918 214571 221970 262740 306530 367836 429142 443940 459795 613060 643713 858284 919590 1072855 1287426 1839180 2145710 2574852 3218565 4291420 6437130 12874260