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12314940 = 22351147397
BaseRepresentation
bin101110111110…
…100100111100
3212011122220220
4232332210330
511123034230
61115541340
7206450421
oct56764474
925148826
1012314940
116a51440
12415a850
132722461
1418c7d48
151133d10
hexbbe93c

12314940 has 96 divisors (see below), whose sum is σ = 38513664. Its totient is φ = 2914560.

The previous prime is 12314909. The next prime is 12314941. The reversal of 12314940 is 4941321.

It is a self number, because there is not a number n which added to its sum of digits gives 12314940.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12314941) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30822 + ... + 31218.

It is an arithmetic number, because the mean of its divisors is an integer number (401184).

Almost surely, 212314940 is an apocalyptic number.

12314940 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 12314940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19256832).

12314940 is an abundant number, since it is smaller than the sum of its proper divisors (26198724).

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

12314940 is a wasteful number, since it uses less digits than its factorization.

12314940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 12314940 is about 3509.2648802848. The cubic root of 12314940 is about 230.9284461951.

The spelling of 12314940 in words is "twelve million, three hundred fourteen thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 47 55 60 66 94 110 132 141 165 188 220 235 282 330 397 470 517 564 660 705 794 940 1034 1191 1410 1551 1588 1985 2068 2382 2585 2820 3102 3970 4367 4764 5170 5955 6204 7755 7940 8734 10340 11910 13101 15510 17468 18659 21835 23820 26202 31020 37318 43670 52404 55977 65505 74636 87340 93295 111954 131010 186590 205249 223908 262020 279885 373180 410498 559770 615747 820996 1026245 1119540 1231494 2052490 2462988 3078735 4104980 6157470 12314940