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12089528 = 2311374779
BaseRepresentation
bin101110000111…
…100010111000
3211202012201022
4232013202320
511043331103
61111042012
7204521303
oct56074270
924665638
1012089528
116908050
124070308
132673989
141869b3a
1510dc138
hexb878b8

12089528 has 64 divisors (see below), whose sum is σ = 26265600. Its totient is φ = 5166720.

The previous prime is 12089527. The next prime is 12089551. The reversal of 12089528 is 82598021.

12089528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 34772-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12089521) 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, 152993 + ... + 153071.

It is an arithmetic number, because the mean of its divisors is an integer number (410400).

Almost surely, 212089528 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 12089528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13132800).

12089528 is an abundant number, since it is smaller than the sum of its proper divisors (14176072).

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

12089528 is a wasteful number, since it uses less digits than its factorization.

12089528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 35.

The square root of 12089528 is about 3476.9998561979. Note that the first 3 decimals coincide. The cubic root of 12089528 is about 229.5107938528.

The spelling of 12089528 in words is "twelve million, eighty-nine thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 11 22 37 44 47 74 79 88 94 148 158 188 296 316 376 407 517 632 814 869 1034 1628 1738 1739 2068 2923 3256 3476 3478 3713 4136 5846 6952 6956 7426 11692 13912 14852 19129 23384 29704 32153 38258 40843 64306 76516 81686 128612 137381 153032 163372 257224 274762 326744 549524 1099048 1511191 3022382 6044764 12089528