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12856140 = 223251143151
BaseRepresentation
bin110001000010…
…101101001100
3220012011022100
4301002231030
511242344030
61135315100
7214163313
oct61025514
926164270
1012856140
117291010
12437ba90
1328818ab
1419c927a
1511de360
hexc42b4c

12856140 has 144 divisors (see below), whose sum is σ = 43819776. Its totient is φ = 3024000.

The previous prime is 12856133. The next prime is 12856153. The reversal of 12856140 is 4165821.

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, 85065 + ... + 85215.

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

Almost surely, 212856140 is an apocalyptic number.

12856140 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 12856140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21909888).

12856140 is an abundant number, since it is smaller than the sum of its proper divisors (30963636).

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

12856140 is a wasteful number, since it uses less digits than its factorization.

12856140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 215 counting only the distinct ones).

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

The square root of 12856140 is about 3585.5459835289. The cubic root of 12856140 is about 234.2629085334.

It can be divided in two parts, 12856 and 140, that added together give a square (12996 = 1142).

The spelling of 12856140 in words is "twelve million, eight hundred fifty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 43 44 45 55 60 66 86 90 99 110 129 132 151 165 172 180 198 215 220 258 302 330 387 396 430 453 473 495 516 604 645 660 755 774 860 906 946 990 1290 1359 1419 1510 1548 1661 1812 1892 1935 1980 2265 2365 2580 2718 2838 3020 3322 3870 4257 4530 4730 4983 5436 5676 6493 6644 6795 7095 7740 8305 8514 9060 9460 9966 12986 13590 14190 14949 16610 17028 19479 19932 21285 24915 25972 27180 28380 29898 32465 33220 38958 42570 49830 58437 59796 64930 71423 74745 77916 85140 97395 99660 116874 129860 142846 149490 194790 214269 233748 285692 292185 298980 357115 389580 428538 584370 642807 714230 857076 1071345 1168740 1285614 1428460 2142690 2571228 3214035 4285380 6428070 12856140