Search a number
-
+
12019752 = 2338229
BaseRepresentation
bin101101110110…
…100000101000
3211121200000000
4231312200220
511034113002
61105343000
7204111003
oct55664050
924550000
1012019752
11686a688
124037a60
13264aca4
14184c53a
1510c661c
hexb76828

12019752 has 72 divisors (see below), whose sum is σ = 33951450. Its totient is φ = 3989088.

The previous prime is 12019729. The next prime is 12019753. The reversal of 12019752 is 25791021.

It can be written as a sum of positive squares in only one way, i.e., 7584516 + 4435236 = 2754^2 + 2106^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (12019753) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 52374 + ... + 52602.

Almost surely, 212019752 is an apocalyptic number.

12019752 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 12019752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16975725).

12019752 is an abundant number, since it is smaller than the sum of its proper divisors (21931698).

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

12019752 is an frugal number, since it uses more digits than its factorization.

12019752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 12019752 is about 3466.9513985633. The cubic root of 12019752 is about 229.0683929633.

The spelling of 12019752 in words is "twelve million, nineteen thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 229 243 324 458 486 648 687 729 916 972 1374 1458 1832 1944 2061 2187 2748 2916 4122 4374 5496 5832 6183 6561 8244 8748 12366 13122 16488 17496 18549 24732 26244 37098 49464 52488 55647 74196 111294 148392 166941 222588 333882 445176 500823 667764 1001646 1335528 1502469 2003292 3004938 4006584 6009876 12019752