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12489900 = 22352173179
BaseRepresentation
bin101111101001…
…010010101100
3212111112220220
4233221102230
511144134100
61123411340
7211106463
oct57512254
925445826
1012489900
117060935
124223b50
132783c97
1419319da
15116aaa0
hexbe94ac

12489900 has 144 divisors (see below), whose sum is σ = 39997440. Its totient is φ = 2995200.

The previous prime is 12489899. The next prime is 12489907. The reversal of 12489900 is 998421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12489907) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 158061 + ... + 158139.

It is an arithmetic number, because the mean of its divisors is an integer number (277760).

Almost surely, 212489900 is an apocalyptic number.

12489900 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 12489900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19998720).

12489900 is an abundant number, since it is smaller than the sum of its proper divisors (27507540).

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

12489900 is a wasteful number, since it uses less digits than its factorization.

12489900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 12489900 is about 3534.1052615903. The cubic root of 12489900 is about 232.0169181083.

The spelling of 12489900 in words is "twelve million, four hundred eighty-nine thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 31 34 50 51 60 62 68 75 79 85 93 100 102 124 150 155 158 170 186 204 237 255 300 310 316 340 372 395 425 465 474 510 527 620 775 790 850 930 948 1020 1054 1185 1275 1343 1550 1580 1581 1700 1860 1975 2108 2325 2370 2449 2550 2635 2686 3100 3162 3950 4029 4650 4740 4898 5100 5270 5372 5925 6324 6715 7347 7900 7905 8058 9300 9796 10540 11850 12245 13175 13430 14694 15810 16116 20145 23700 24490 26350 26860 29388 31620 33575 36735 39525 40290 41633 48980 52700 61225 67150 73470 79050 80580 83266 100725 122450 124899 134300 146940 158100 166532 183675 201450 208165 244900 249798 367350 402900 416330 499596 624495 734700 832660 1040825 1248990 2081650 2497980 3122475 4163300 6244950 12489900