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12138984 = 23341113131
BaseRepresentation
bin101110010011…
…100111101000
3211211201120000
4232103213220
511101421414
61112103000
7205115424
oct56234750
924751500
1012138984
116941220
124094a60
132690340
14187db84
1510ebb09
hexb939e8

12138984 has 160 divisors (see below), whose sum is σ = 40249440. Its totient is φ = 3369600.

The previous prime is 12138983. The next prime is 12139007. The reversal of 12138984 is 48983121.

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.

It is not an unprimeable number, because it can be changed into a prime (12138983) 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 39 ways as a sum of consecutive naturals, for example, 92599 + ... + 92729.

It is an arithmetic number, because the mean of its divisors is an integer number (251559).

Almost surely, 212138984 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 12138984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20124720).

12138984 is an abundant number, since it is smaller than the sum of its proper divisors (28110456).

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

12138984 is a wasteful number, since it uses less digits than its factorization.

12138984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 160 counting only the distinct ones).

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

The square root of 12138984 is about 3484.1044760455. The cubic root of 12138984 is about 229.8233299876.

The spelling of 12138984 in words is "twelve million, one hundred thirty-eight thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 27 33 36 39 44 52 54 66 72 78 81 88 99 104 108 117 131 132 143 156 162 198 216 234 262 264 286 297 312 324 351 393 396 429 468 524 572 594 648 702 786 792 858 891 936 1048 1053 1144 1179 1188 1287 1404 1441 1572 1703 1716 1782 2106 2358 2376 2574 2808 2882 3144 3406 3432 3537 3564 3861 4212 4323 4716 5109 5148 5764 6812 7074 7128 7722 8424 8646 9432 10218 10296 10611 11528 11583 12969 13624 14148 15327 15444 17292 18733 20436 21222 23166 25938 28296 30654 30888 34584 37466 38907 40872 42444 45981 46332 51876 56199 61308 74932 77814 84888 91962 92664 103752 112398 116721 122616 137943 149864 155628 168597 183924 224796 233442 275886 311256 337194 367848 449592 466884 505791 551772 674388 933768 1011582 1103544 1348776 1517373 2023164 3034746 4046328 6069492 12138984