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12489000 = 2335323181
BaseRepresentation
bin101111101001…
…000100101000
3212111111200120
4233221010220
511144122000
61123403240
7211104036
oct57510450
925444616
1012489000
117060197
124223520
132783754
141931556
15116a6a0
hexbe9128

12489000 has 128 divisors (see below), whose sum is σ = 40884480. Its totient is φ = 3168000.

The previous prime is 12488941. The next prime is 12489047. The reversal of 12489000 is 98421.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68910 + ... + 69090.

It is an arithmetic number, because the mean of its divisors is an integer number (319410).

Almost surely, 212489000 is an apocalyptic number.

12489000 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 12489000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20442240).

12489000 is an abundant number, since it is smaller than the sum of its proper divisors (28395480).

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

12489000 is a wasteful number, since it uses less digits than its factorization.

12489000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 12489000 is about 3533.9779286238. The cubic root of 12489000 is about 232.0113450655.

The spelling of 12489000 in words is "twelve million, four hundred eighty-nine thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 25 30 40 46 50 60 69 75 92 100 115 120 125 138 150 181 184 200 230 250 276 300 345 362 375 460 500 543 552 575 600 690 724 750 905 920 1000 1086 1150 1380 1448 1500 1725 1810 2172 2300 2715 2760 2875 3000 3450 3620 4163 4344 4525 4600 5430 5750 6900 7240 8326 8625 9050 10860 11500 12489 13575 13800 16652 17250 18100 20815 21720 22625 23000 24978 27150 33304 34500 36200 41630 45250 49956 54300 62445 67875 69000 83260 90500 99912 104075 108600 124890 135750 166520 181000 208150 249780 271500 312225 416300 499560 520375 543000 624450 832600 1040750 1248900 1561125 2081500 2497800 3122250 4163000 6244500 12489000