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12314700 = 2233524561
BaseRepresentation
bin101110111110…
…100001001100
3212011122121000
4232332201030
511123032300
61115540300
7206446626
oct56764114
925148530
1012314700
116a51242
12415a690
132722308
1418c7c16
151133c00
hexbbe84c

12314700 has 72 divisors (see below), whose sum is σ = 39598160. Its totient is φ = 3283200.

The previous prime is 12314699. The next prime is 12314767. The reversal of 12314700 is 741321.

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

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 23 ways as a sum of consecutive naturals, for example, 420 + ... + 4980.

Almost surely, 212314700 is an apocalyptic number.

12314700 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 12314700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19799080).

12314700 is an abundant number, since it is smaller than the sum of its proper divisors (27283460).

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

12314700 is a wasteful number, since it uses less digits than its factorization.

12314700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4584 (or 4571 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 12314700 is about 3509.2306849223. The cubic root of 12314700 is about 230.9269460338.

The spelling of 12314700 in words is "twelve million, three hundred fourteen thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 4561 9122 13683 18244 22805 27366 41049 45610 54732 68415 82098 91220 114025 123147 136830 164196 205245 228050 246294 273660 342075 410490 456100 492588 615735 684150 820980 1026225 1231470 1368300 2052450 2462940 3078675 4104900 6157350 12314700