Search a number
-
+
12091860 = 223251131197
BaseRepresentation
bin101110001000…
…000111010100
3211202022220200
4232020013110
511043414420
61111100500
7204531144
oct56100724
924668820
1012091860
116909880
124071730
132674a61
14186a924
1510dcb90
hexb881d4

12091860 has 144 divisors (see below), whose sum is σ = 41513472. Its totient is φ = 2822400.

The previous prime is 12091789. The next prime is 12091861. The reversal of 12091860 is 6819021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12091861) 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, 61282 + ... + 61478.

It is an arithmetic number, because the mean of its divisors is an integer number (288288).

Almost surely, 212091860 is an apocalyptic number.

12091860 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 12091860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20756736).

12091860 is an abundant number, since it is smaller than the sum of its proper divisors (29421612).

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

12091860 is a wasteful number, since it uses less digits than its factorization.

12091860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 12091860 is about 3477.3351866048. The cubic root of 12091860 is about 229.5255500055.

The spelling of 12091860 in words is "twelve million, ninety-one thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 31 33 36 44 45 55 60 62 66 90 93 99 110 124 132 155 165 180 186 197 198 220 279 310 330 341 372 394 396 465 495 558 591 620 660 682 788 930 985 990 1023 1116 1182 1364 1395 1705 1773 1860 1970 1980 2046 2167 2364 2790 2955 3069 3410 3546 3940 4092 4334 5115 5580 5910 6107 6138 6501 6820 7092 8668 8865 10230 10835 11820 12214 12276 13002 15345 17730 18321 19503 20460 21670 24428 26004 30535 30690 32505 35460 36642 39006 43340 54963 61070 61380 65010 67177 73284 78012 91605 97515 109926 122140 130020 134354 183210 195030 201531 219852 268708 274815 335885 366420 390060 403062 549630 604593 671770 806124 1007655 1099260 1209186 1343540 2015310 2418372 3022965 4030620 6045930 12091860