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12300000 = 2535541
BaseRepresentation
bin101110111010…
…111011100000
3212010220102120
4232322323200
511122100000
61115344240
7206356026
oct56727340
925126376
1012300000
116a41199
124152080
13271870b
1418c2716
15112e6a0
hexbbaee0

12300000 has 144 divisors (see below), whose sum is σ = 41341104. Its totient is φ = 3200000.

The previous prime is 12299977. The next prime is 12300017. The reversal of 12300000 is 321.

Adding to 12300000 its reverse (321), we get a palindrome (12300321).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 299980 + ... + 300020.

It is an arithmetic number, because the mean of its divisors is an integer number (287091).

Almost surely, 212300000 is an apocalyptic number.

12300000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12300000 is the 1875-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20670552).

12300000 is an abundant number, since it is smaller than the sum of its proper divisors (29041104).

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

12300000 is an frugal number, since it uses more digits than its factorization.

12300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 12300000 is about 3507.1355833500. The cubic root of 12300000 is about 230.8350239754.

The spelling of 12300000 in words is "twelve million, three hundred thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 41 48 50 60 75 80 82 96 100 120 123 125 150 160 164 200 205 240 246 250 300 328 375 400 410 480 492 500 600 615 625 656 750 800 820 984 1000 1025 1200 1230 1250 1312 1500 1640 1875 1968 2000 2050 2400 2460 2500 3000 3075 3125 3280 3750 3936 4000 4100 4920 5000 5125 6000 6150 6250 6560 7500 8200 9375 9840 10000 10250 12000 12300 12500 15000 15375 16400 18750 19680 20000 20500 24600 25000 25625 30000 30750 32800 37500 41000 49200 50000 51250 60000 61500 75000 76875 82000 98400 100000 102500 123000 128125 150000 153750 164000 205000 246000 256250 300000 307500 384375 410000 492000 512500 615000 768750 820000 1025000 1230000 1537500 2050000 2460000 3075000 4100000 6150000 12300000