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12677088 = 253374383
BaseRepresentation
bin110000010110…
…111111100000
3212212001200210
4300112333200
511221131323
61131414120
7212516304
oct60267740
925761623
1012677088
117179536
1242b4340
13281b248
14197dd04
1511a6293
hexc16fe0

12677088 has 96 divisors (see below), whose sum is σ = 35392896. Its totient is φ = 3967488.

The previous prime is 12677033. The next prime is 12677099. The reversal of 12677088 is 88077621.

12677088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152695 + ... + 152777.

It is an arithmetic number, because the mean of its divisors is an integer number (368676).

Almost surely, 212677088 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 12677088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17696448).

12677088 is an abundant number, since it is smaller than the sum of its proper divisors (22715808).

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

12677088 is a wasteful number, since it uses less digits than its factorization.

12677088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 39.

The square root of 12677088 is about 3560.4898539386. The cubic root of 12677088 is about 233.1702661108.

The spelling of 12677088 in words is "twelve million, six hundred seventy-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 43 48 74 83 86 96 111 129 148 166 172 222 249 258 296 332 344 444 498 516 592 664 688 888 996 1032 1184 1328 1376 1591 1776 1992 2064 2656 3071 3182 3552 3569 3984 4128 4773 6142 6364 7138 7968 9213 9546 10707 12284 12728 14276 18426 19092 21414 24568 25456 28552 36852 38184 42828 49136 50912 57104 73704 76368 85656 98272 114208 132053 147408 152736 171312 264106 294816 342624 396159 528212 792318 1056424 1584636 2112848 3169272 4225696 6338544 12677088