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12031104 = 273171997
BaseRepresentation
bin101101111001…
…010010000000
3211122020120110
4231321102000
511034443404
61105511320
7204156051
oct55712200
924566513
1012031104
116878168
124042540
1326531c7
141852728
1510c9b89
hexb79480

12031104 has 128 divisors (see below), whose sum is σ = 35985600. Its totient is φ = 3538944.

The previous prime is 12031079. The next prime is 12031111. The reversal of 12031104 is 40113021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 12031104.

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, 123984 + ... + 124080.

Almost surely, 212031104 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 12031104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17992800).

12031104 is an abundant number, since it is smaller than the sum of its proper divisors (23954496).

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

12031104 is a wasteful number, since it uses less digits than its factorization.

12031104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 12031104 is about 3468.5881854149. The cubic root of 12031104 is about 229.1404844725.

Adding to 12031104 its reverse (40113021), we get a palindrome (52144125).

The spelling of 12031104 in words is "twelve million, thirty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 32 34 38 48 51 57 64 68 76 96 97 102 114 128 136 152 192 194 204 228 272 291 304 323 384 388 408 456 544 582 608 646 776 816 912 969 1088 1164 1216 1292 1552 1632 1649 1824 1843 1938 2176 2328 2432 2584 3104 3264 3298 3648 3686 3876 4656 4947 5168 5529 6208 6528 6596 7296 7372 7752 9312 9894 10336 11058 12416 13192 14744 15504 18624 19788 20672 22116 26384 29488 31008 31331 37248 39576 41344 44232 52768 58976 62016 62662 79152 88464 93993 105536 117952 124032 125324 158304 176928 187986 211072 235904 250648 316608 353856 375972 501296 633216 707712 751944 1002592 1503888 2005184 3007776 4010368 6015552 12031104