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12028512 = 2531071171
BaseRepresentation
bin101101111000…
…101001100000
3211122010000110
4231320221200
511034403022
61105451320
7204145356
oct55705140
924563013
1012028512
116876221
124040b40
132651c82
1418517d6
1510c900c
hexb78a60

12028512 has 48 divisors (see below), whose sum is σ = 31897152. Its totient is φ = 3968640.

The previous prime is 12028493. The next prime is 12028531. The reversal of 12028512 is 21582021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12028493) and next prime (12028531).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 9687 + ... + 10857.

It is an arithmetic number, because the mean of its divisors is an integer number (664524).

Almost surely, 212028512 is an apocalyptic number.

12028512 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 12028512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15948576).

12028512 is an abundant number, since it is smaller than the sum of its proper divisors (19868640).

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

12028512 is a wasteful number, since it uses less digits than its factorization.

12028512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 12028512 is about 3468.2145262368. The cubic root of 12028512 is about 229.1240278283.

The spelling of 12028512 in words is "twelve million, twenty-eight thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 107 214 321 428 642 856 1171 1284 1712 2342 2568 3424 3513 4684 5136 7026 9368 10272 14052 18736 28104 37472 56208 112416 125297 250594 375891 501188 751782 1002376 1503564 2004752 3007128 4009504 6014256 12028512