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12314820 = 22357109269
BaseRepresentation
bin101110111110…
…100011000100
3212011122202110
4232332203010
511123033240
61115541020
7206450160
oct56764304
925148673
1012314820
116a51341
12415a770
13272239b
1418c7ca0
151133c80
hexbbe8c4

12314820 has 96 divisors (see below), whose sum is σ = 39916800. Its totient is φ = 2778624.

The previous prime is 12314807. The next prime is 12314837. The reversal of 12314820 is 2841321.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45646 + ... + 45914.

It is an arithmetic number, because the mean of its divisors is an integer number (415800).

Almost surely, 212314820 is an apocalyptic number.

12314820 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 12314820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19958400).

12314820 is an abundant number, since it is smaller than the sum of its proper divisors (27601980).

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

12314820 is a wasteful number, since it uses less digits than its factorization.

12314820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 12314820 is about 3509.2477826452. The cubic root of 12314820 is about 230.9276961169.

The spelling of 12314820 in words is "twelve million, three hundred fourteen thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 109 140 210 218 269 327 420 436 538 545 654 763 807 1076 1090 1308 1345 1526 1614 1635 1883 2180 2289 2690 3052 3228 3270 3766 3815 4035 4578 5380 5649 6540 7532 7630 8070 9156 9415 11298 11445 15260 16140 18830 22596 22890 28245 29321 37660 45780 56490 58642 87963 112980 117284 146605 175926 205247 293210 351852 410494 439815 586420 615741 820988 879630 1026235 1231482 1759260 2052470 2462964 3078705 4104940 6157410 12314820