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12981384 = 2334132367
BaseRepresentation
bin110001100001…
…010010001000
3220102112010000
4301201102020
511310401014
61142123000
7215224413
oct61412210
926375100
1012981384
117367119
124420460
1328c68c0
141a1cb7a
151216509
hexc61488

12981384 has 160 divisors (see below), whose sum is σ = 41469120. Its totient is φ = 3763584.

The previous prime is 12981377. The next prime is 12981391. The reversal of 12981384 is 48318921.

It is an interprime number because it is at equal distance from previous prime (12981377) and next prime (12981391).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

Its product of digits (13824) is a multiple of the sum of its prime divisors (108).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 193719 + ... + 193785.

It is an arithmetic number, because the mean of its divisors is an integer number (259182).

Almost surely, 212981384 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 12981384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20734560).

12981384 is an abundant number, since it is smaller than the sum of its proper divisors (28487736).

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

12981384 is a wasteful number, since it uses less digits than its factorization.

12981384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 108 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 12981384 is about 3602.9687758847. The cubic root of 12981384 is about 235.0211781125.

The spelling of 12981384 in words is "twelve million, nine hundred eighty-one thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 23 24 26 27 36 39 46 52 54 67 69 72 78 81 92 104 108 117 134 138 156 162 184 201 207 216 234 268 276 299 312 324 351 402 414 468 536 552 598 603 621 648 702 804 828 871 897 936 1053 1196 1206 1242 1404 1541 1608 1656 1742 1794 1809 1863 2106 2392 2412 2484 2613 2691 2808 3082 3484 3588 3618 3726 4212 4623 4824 4968 5226 5382 5427 6164 6968 7176 7236 7452 7839 8073 8424 9246 10452 10764 10854 12328 13869 14472 14904 15678 16146 18492 20033 20904 21528 21708 23517 24219 27738 31356 32292 36984 40066 41607 43416 47034 48438 55476 60099 62712 64584 70551 80132 83214 94068 96876 110952 120198 124821 141102 160264 166428 180297 188136 193752 240396 249642 282204 332856 360594 480792 499284 540891 564408 721188 998568 1081782 1442376 1622673 2163564 3245346 4327128 6490692 12981384