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12107940 = 22351319243
BaseRepresentation
bin101110001100…
…000010100100
3211210010222020
4232030002210
511044423230
61111303140
7204626055
oct56140244
924703866
1012107940
11691a969
12407aab0
13267c180
14187272c
1510e2810
hexb8c0a4

12107940 has 144 divisors (see below), whose sum is σ = 39428928. Its totient is φ = 2757888.

The previous prime is 12107939. The next prime is 12107941. The reversal of 12107940 is 4970121.

It is an interprime number because it is at equal distance from previous prime (12107939) and next prime (12107941).

It is a super-2 number, since 2×121079402 = 293204422087200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12107940.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12107941) 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, 281559 + ... + 281601.

It is an arithmetic number, because the mean of its divisors is an integer number (273812).

Almost surely, 212107940 is an apocalyptic number.

12107940 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 12107940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19714464).

12107940 is an abundant number, since it is smaller than the sum of its proper divisors (27320988).

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

12107940 is a wasteful number, since it uses less digits than its factorization.

12107940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 12107940 is about 3479.6465337732. The cubic root of 12107940 is about 229.6272475119.

The spelling of 12107940 in words is "twelve million, one hundred seven thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 19 20 26 30 38 39 43 52 57 60 65 76 78 86 95 114 129 130 156 172 190 195 215 228 247 258 260 285 361 380 390 430 494 516 559 570 645 722 741 780 817 860 988 1083 1118 1140 1235 1290 1444 1482 1634 1677 1805 2166 2236 2451 2470 2580 2795 2964 3268 3354 3610 3705 4085 4332 4693 4902 4940 5415 5590 6708 7220 7410 8170 8385 9386 9804 10621 10830 11180 12255 14079 14820 15523 16340 16770 18772 21242 21660 23465 24510 28158 31046 31863 33540 42484 46569 46930 49020 53105 56316 62092 63726 70395 77615 93138 93860 106210 127452 140790 155230 159315 186276 201799 212420 232845 281580 310460 318630 403598 465690 605397 637260 807196 931380 1008995 1210794 2017990 2421588 3026985 4035980 6053970 12107940