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12110052 = 22317232989
BaseRepresentation
bin101110001100…
…100011100100
3211210020212110
4232030203210
511100010202
61111321020
7204635163
oct56144344
924706773
1012110052
116921509
124080170
132680116
1418733da
1510e326c
hexb8c8e4

12110052 has 96 divisors (see below), whose sum is σ = 32659200. Its totient is φ = 3469312.

The previous prime is 12110017. The next prime is 12110071. The reversal of 12110052 is 25001121.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136024 + ... + 136112.

It is an arithmetic number, because the mean of its divisors is an integer number (340200).

Almost surely, 212110052 is an apocalyptic number.

12110052 is a gapful number since it is divisible by the number (12) 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 12110052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16329600).

12110052 is an abundant number, since it is smaller than the sum of its proper divisors (20549148).

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

12110052 is a wasteful number, since it uses less digits than its factorization.

12110052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 12110052 is about 3479.9499996408. The cubic root of 12110052 is about 229.6405981053.

Adding to 12110052 its reverse (25001121), we get a palindrome (37111173).

The spelling of 12110052 in words is "twelve million, one hundred ten thousand, fifty-two".

Divisors: 1 2 3 4 6 12 17 23 29 34 46 51 58 68 69 87 89 92 102 116 138 174 178 204 267 276 348 356 391 493 534 667 782 986 1068 1173 1334 1479 1513 1564 1972 2001 2047 2346 2581 2668 2958 3026 4002 4094 4539 4692 5162 5916 6052 6141 7743 8004 8188 9078 10324 11339 12282 15486 18156 22678 24564 30972 34017 34799 43877 45356 59363 68034 69598 87754 104397 118726 131631 136068 139196 175508 178089 208794 237452 263262 356178 417588 526524 712356 1009171 2018342 3027513 4036684 6055026 12110052