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12052152 = 233472657
BaseRepresentation
bin101101111110…
…011010111000
3211200022110000
4231332122320
511041132102
61110153000
7204304320
oct55763270
924608400
1012052152
116891a62
124052760
13265c968
14185a280
1510d101c
hexb7e6b8

12052152 has 80 divisors (see below), whose sum is σ = 38594160. Its totient is φ = 3442176.

The previous prime is 12052151. The next prime is 12052171. The reversal of 12052152 is 25125021.

It is a super-2 number, since 2×120521522 = 290508735662208, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12052151) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3208 + ... + 5864.

It is an arithmetic number, because the mean of its divisors is an integer number (482427).

Almost surely, 212052152 is an apocalyptic number.

12052152 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 12052152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19297080).

12052152 is an abundant number, since it is smaller than the sum of its proper divisors (26542008).

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

12052152 is a wasteful number, since it uses less digits than its factorization.

12052152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2682 (or 2669 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 12052152 is about 3471.6209470505. The cubic root of 12052152 is about 229.2740310731.

Adding to 12052152 its reverse (25125021), we get a palindrome (37177173).

The spelling of 12052152 in words is "twelve million, fifty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 567 648 756 1134 1512 2268 2657 4536 5314 7971 10628 15942 18599 21256 23913 31884 37198 47826 55797 63768 71739 74396 95652 111594 143478 148792 167391 191304 215217 223188 286956 334782 430434 446376 502173 573912 669564 860868 1004346 1339128 1506519 1721736 2008692 3013038 4017384 6026076 12052152