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12489984 = 283313139
BaseRepresentation
bin101111101001…
…010100000000
3212111120001000
4233221110000
511144134414
61123412000
7211106643
oct57512400
925446030
1012489984
117060a01
124224000
132784030
141931a5a
15116ab09
hexbe9500

12489984 has 144 divisors (see below), whose sum is σ = 40062400. Its totient is φ = 3815424.

The previous prime is 12489959. The next prime is 12489991. The reversal of 12489984 is 48998421.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89787 + ... + 89925.

Almost surely, 212489984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12489984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20031200).

12489984 is an abundant number, since it is smaller than the sum of its proper divisors (27572416).

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

12489984 is a wasteful number, since it uses less digits than its factorization.

12489984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 157 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 12489984 is about 3534.1171457664. The cubic root of 12489984 is about 232.0174382453.

The spelling of 12489984 in words is "twelve million, four hundred eighty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 139 144 156 192 208 216 234 256 278 288 312 351 384 416 417 432 468 556 576 624 702 768 832 834 864 936 1112 1152 1248 1251 1404 1664 1668 1728 1807 1872 2224 2304 2496 2502 2808 3328 3336 3456 3614 3744 3753 4448 4992 5004 5421 5616 6672 6912 7228 7488 7506 8896 9984 10008 10842 11232 13344 14456 14976 15012 16263 17792 20016 21684 22464 26688 28912 29952 30024 32526 35584 40032 43368 44928 48789 53376 57824 60048 65052 80064 86736 89856 97578 106752 115648 120096 130104 160128 173472 195156 231296 240192 260208 320256 346944 390312 462592 480384 520416 693888 780624 960768 1040832 1387776 1561248 2081664 3122496 4163328 6244992 12489984