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12262140 = 22325112563
BaseRepresentation
bin101110110001…
…101011111100
3212001222111100
4232301223330
511114342030
61114453100
7206140452
oct56615374
925058440
1012262140
116a15800
124134190
132704407
1418b29d2
151123360
hexbb1afc

12262140 has 108 divisors (see below), whose sum is σ = 40956552. Its totient is φ = 2967360.

The previous prime is 12262123. The next prime is 12262169. The reversal of 12262140 is 4126221.

12262140 is a `hidden beast` number, since 1 + 2 + 2 + 621 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21499 + ... + 22061.

Almost surely, 212262140 is an apocalyptic number.

12262140 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 12262140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20478276).

12262140 is an abundant number, since it is smaller than the sum of its proper divisors (28694412).

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

12262140 is a wasteful number, since it uses less digits than its factorization.

12262140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 12262140 is about 3501.7338562489. The cubic root of 12262140 is about 230.5979400688.

Adding to 12262140 its reverse (4126221), we get a palindrome (16388361).

The spelling of 12262140 in words is "twelve million, two hundred sixty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 121 132 165 180 198 220 242 330 363 396 484 495 563 605 660 726 990 1089 1126 1210 1452 1689 1815 1980 2178 2252 2420 2815 3378 3630 4356 5067 5445 5630 6193 6756 7260 8445 10134 10890 11260 12386 16890 18579 20268 21780 24772 25335 30965 33780 37158 50670 55737 61930 68123 74316 92895 101340 111474 123860 136246 185790 204369 222948 272492 278685 340615 371580 408738 557370 613107 681230 817476 1021845 1114740 1226214 1362460 2043690 2452428 3065535 4087380 6131070 12262140