[go: up one dir, main page]

Search a number
-
+
12106752 = 21037563
BaseRepresentation
bin101110001011…
…110000000000
3211210002100020
4232023300000
511044404002
61111253440
7204622440
oct56136000
924702306
1012106752
116919a89
12407a280
13267b778
141872120
1510e22bc
hexb8bc00

12106752 has 88 divisors (see below), whose sum is σ = 36944256. Its totient is φ = 3452928.

The previous prime is 12106711. The next prime is 12106789. The reversal of 12106752 is 25760121.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21223 + ... + 21785.

Almost surely, 212106752 is an apocalyptic number.

12106752 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 12106752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18472128).

12106752 is an abundant number, since it is smaller than the sum of its proper divisors (24837504).

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

12106752 is an equidigital number, since it uses as much as digits as its factorization.

12106752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 12106752 is about 3479.4758225917. The cubic root of 12106752 is about 229.6197371209.

Adding to 12106752 its reverse (25760121), we get a palindrome (37866873).

The spelling of 12106752 in words is "twelve million, one hundred six thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 563 672 768 896 1024 1126 1344 1536 1689 1792 2252 2688 3072 3378 3584 3941 4504 5376 6756 7168 7882 9008 10752 11823 13512 15764 18016 21504 23646 27024 31528 36032 47292 54048 63056 72064 94584 108096 126112 144128 189168 216192 252224 288256 378336 432384 504448 576512 756672 864768 1008896 1513344 1729536 2017792 3026688 4035584 6053376 12106752