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12493000 = 235313312
BaseRepresentation
bin101111101010…
…000011001000
3212111201011201
4233222003020
511144234000
61123433544
7211121512
oct57520310
925451151
1012493000
1170631a3
1242258b4
132785510
141932bb2
15116b96a
hexbea0c8

12493000 has 96 divisors (see below), whose sum is σ = 32530680. Its totient is φ = 4464000.

The previous prime is 12492989. The next prime is 12493003. The reversal of 12493000 is 39421.

It can be written as a sum of positive squares in 4 ways, for example, as 1695204 + 10797796 = 1302^2 + 3286^2 .

It is not an unprimeable number, because it can be changed into a prime (12493003) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 402985 + ... + 403015.

Almost surely, 212493000 is an apocalyptic number.

12493000 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 12493000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16265340).

12493000 is an abundant number, since it is smaller than the sum of its proper divisors (20037680).

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

12493000 is a wasteful number, since it uses less digits than its factorization.

12493000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 12493000 is about 3534.5438178073. The cubic root of 12493000 is about 232.0361120957.

The spelling of 12493000 in words is "twelve million, four hundred ninety-three thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 31 40 50 52 62 65 100 104 124 125 130 155 200 248 250 260 310 325 403 500 520 620 650 775 806 961 1000 1240 1300 1550 1612 1625 1922 2015 2600 3100 3224 3250 3844 3875 4030 4805 6200 6500 7688 7750 8060 9610 10075 12493 13000 15500 16120 19220 20150 24025 24986 31000 38440 40300 48050 49972 50375 62465 80600 96100 99944 100750 120125 124930 192200 201500 240250 249860 312325 403000 480500 499720 624650 961000 1249300 1561625 2498600 3123250 6246500 12493000