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12032088 = 2334389131
BaseRepresentation
bin101101111001…
…100001011000
3211122021220220
4231321201120
511040011323
61105520040
7204161655
oct55714130
924567826
1012032088
116878982
124043020
1326537a3
141852c2c
1510ca0e3
hexb79858

12032088 has 64 divisors (see below), whose sum is σ = 31363200. Its totient is φ = 3843840.

The previous prime is 12032077. The next prime is 12032089. The reversal of 12032088 is 88023021.

12032088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×120320882 = 289542283279488, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12032089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91783 + ... + 91913.

It is an arithmetic number, because the mean of its divisors is an integer number (490050).

Almost surely, 212032088 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 12032088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15681600).

12032088 is an abundant number, since it is smaller than the sum of its proper divisors (19331112).

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

12032088 is a wasteful number, since it uses less digits than its factorization.

12032088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 12032088 is about 3468.7300269695. The cubic root of 12032088 is about 229.1467312833.

The spelling of 12032088 in words is "twelve million, thirty-two thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 24 43 86 89 129 131 172 178 258 262 267 344 356 393 516 524 534 712 786 1032 1048 1068 1572 2136 3144 3827 5633 7654 11266 11481 11659 15308 16899 22532 22962 23318 30616 33798 34977 45064 45924 46636 67596 69954 91848 93272 135192 139908 279816 501337 1002674 1504011 2005348 3008022 4010696 6016044 12032088