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12116952 = 233523271
BaseRepresentation
bin101110001110…
…001111011000
3211210121100000
4232032033120
511100220302
61111413000
7204664251
oct56161730
924717300
1012116952
116926711
124084160
1326832c3
141875b28
1510e531c
hexb8e3d8

12116952 has 96 divisors (see below), whose sum is σ = 35642880. Its totient is φ = 3849120.

The previous prime is 12116899. The next prime is 12116953. The reversal of 12116952 is 25961121.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12116953) 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 23 ways as a sum of consecutive naturals, for example, 44577 + ... + 44847.

It is an arithmetic number, because the mean of its divisors is an integer number (371280).

Almost surely, 212116952 is an apocalyptic number.

12116952 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 12116952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17821440).

12116952 is an abundant number, since it is smaller than the sum of its proper divisors (23525928).

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

12116952 is a wasteful number, since it uses less digits than its factorization.

12116952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 299 counting only the distinct ones).

The product of its digits is 1080, while the sum is 27.

The square root of 12116952 is about 3480.9412520179. The cubic root of 12116952 is about 229.6842042842.

It can be divided in two parts, 12 and 116952, that added together give a square (116964 = 3422).

The spelling of 12116952 in words is "twelve million, one hundred sixteen thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 81 92 108 138 162 184 207 216 243 271 276 324 414 486 542 552 621 648 813 828 972 1084 1242 1626 1656 1863 1944 2168 2439 2484 3252 3726 4878 4968 5589 6233 6504 7317 7452 9756 11178 12466 14634 14904 18699 19512 21951 22356 24932 29268 37398 43902 44712 49864 56097 58536 65853 74796 87804 112194 131706 149592 168291 175608 224388 263412 336582 448776 504873 526824 673164 1009746 1346328 1514619 2019492 3029238 4038984 6058476 12116952