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12128032 = 257291867
BaseRepresentation
bin101110010000…
…111100100000
3211211011112101
4232100330200
511101044112
61111540144
7205041460
oct56207440
924734471
1012128032
116933a74
12408a654
132688367
141879ba0
1510e8757
hexb90f20

12128032 has 48 divisors (see below), whose sum is σ = 28244160. Its totient is φ = 5015808.

The previous prime is 12128027. The next prime is 12128059. The reversal of 12128032 is 23082121.

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, 5563 + ... + 7429.

It is an arithmetic number, because the mean of its divisors is an integer number (588420).

Almost surely, 212128032 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 12128032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14122080).

12128032 is an abundant number, since it is smaller than the sum of its proper divisors (16116128).

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

12128032 is a wasteful number, since it uses less digits than its factorization.

12128032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1913 (or 1905 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 12128032 is about 3482.5324119095. The cubic root of 12128032 is about 229.7541923383.

The spelling of 12128032 in words is "twelve million, one hundred twenty-eight thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 112 116 203 224 232 406 464 812 928 1624 1867 3248 3734 6496 7468 13069 14936 26138 29872 52276 54143 59744 104552 108286 209104 216572 379001 418208 433144 758002 866288 1516004 1732576 3032008 6064016 12128032