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12093288 = 2334771151
BaseRepresentation
bin101110001000…
…011101101000
3211202101212120
4232020131220
511043441123
61111111240
7204535254
oct56103550
924671776
1012093288
11690a959
124072520
1326755bc
14186b264
1510dd2e3
hexb88768

12093288 has 64 divisors (see below), whose sum is σ = 31518720. Its totient is φ = 3864000.

The previous prime is 12093271. The next prime is 12093293. The reversal of 12093288 is 88239021.

It is a super-2 number, since 2×120932882 = 292495229301888, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 80013 + ... + 80163.

It is an arithmetic number, because the mean of its divisors is an integer number (492480).

Almost surely, 212093288 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 12093288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15759360).

12093288 is an abundant number, since it is smaller than the sum of its proper divisors (19425432).

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

12093288 is a wasteful number, since it uses less digits than its factorization.

12093288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 12093288 is about 3477.5405101882. The cubic root of 12093288 is about 229.5345849977.

The spelling of 12093288 in words is "twelve million, ninety-three thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 24 47 71 94 141 142 151 188 213 282 284 302 376 426 453 564 568 604 852 906 1128 1208 1704 1812 3337 3624 6674 7097 10011 10721 13348 14194 20022 21291 21442 26696 28388 32163 40044 42582 42884 56776 64326 80088 85164 85768 128652 170328 257304 503887 1007774 1511661 2015548 3023322 4031096 6046644 12093288