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12061952 = 28753127
BaseRepresentation
bin101110000000…
…110100000000
3211200210212222
4232000310000
511041440302
61110310212
7204345020
oct56006400
924623788
1012061952
116899361
124058368
132664266
14185da80
1510d3da2
hexb80d00

12061952 has 72 divisors (see below), whose sum is σ = 28256256. Its totient is φ = 5031936.

The previous prime is 12061937. The next prime is 12061961. The reversal of 12061952 is 25916021.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94913 + ... + 95039.

It is an arithmetic number, because the mean of its divisors is an integer number (392448).

Almost surely, 212061952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12061952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14128128).

12061952 is an abundant number, since it is smaller than the sum of its proper divisors (16194304).

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

12061952 is an equidigital number, since it uses as much as digits as its factorization.

12061952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 12061952 is about 3473.0321046601. The cubic root of 12061952 is about 229.3361576480.

Adding to 12061952 its reverse (25916021), we get a palindrome (37977973).

The spelling of 12061952 in words is "twelve million, sixty-one thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 106 112 127 128 212 224 254 256 371 424 448 508 742 848 889 896 1016 1484 1696 1778 1792 2032 2968 3392 3556 4064 5936 6731 6784 7112 8128 11872 13462 13568 14224 16256 23744 26924 28448 32512 47117 47488 53848 56896 94234 94976 107696 113792 188468 215392 227584 376936 430784 753872 861568 1507744 1723136 3015488 6030976 12061952