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12134052 = 22327179269
BaseRepresentation
bin101110010010…
…011010100100
3211211110210100
4232102122210
511101242202
61112024100
7205065150
oct56223244
924743710
1012134052
116938547
124092030
13268b018
14187c060
1510ea41c
hexb926a4

12134052 has 72 divisors (see below), whose sum is σ = 35380800. Its totient is φ = 3434688.

The previous prime is 12134033. The next prime is 12134069. The reversal of 12134052 is 25043121.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 44974 + ... + 45242.

It is an arithmetic number, because the mean of its divisors is an integer number (491400).

Almost surely, 212134052 is an apocalyptic number.

12134052 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 12134052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17690400).

12134052 is an abundant number, since it is smaller than the sum of its proper divisors (23246748).

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

12134052 is a wasteful number, since it uses less digits than its factorization.

12134052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 12134052 is about 3483.3966182449. The cubic root of 12134052 is about 229.7922004684.

Adding to 12134052 its reverse (25043121), we get a palindrome (37177173).

The spelling of 12134052 in words is "twelve million, one hundred thirty-four thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 179 252 269 358 537 538 716 807 1074 1076 1253 1611 1614 1883 2148 2421 2506 3222 3228 3759 3766 4842 5012 5649 6444 7518 7532 9684 11277 11298 15036 16947 22554 22596 33894 45108 48151 67788 96302 144453 192604 288906 337057 433359 577812 674114 866718 1011171 1348228 1733436 2022342 3033513 4044684 6067026 12134052