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12800088 = 23327109233
BaseRepresentation
bin110000110101…
…000001011000
3220002022102100
4300311001120
511234100323
61134203400
7213541020
oct60650130
926068370
1012800088
117252994
124353560
132862222
1419b2a80
1511cc943
hexc35058

12800088 has 96 divisors (see below), whose sum is σ = 40154400. Its totient is φ = 3608064.

The previous prime is 12800087. The next prime is 12800131. The reversal of 12800088 is 88000821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12800087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54820 + ... + 55052.

It is an arithmetic number, because the mean of its divisors is an integer number (418275).

Almost surely, 212800088 is an apocalyptic number.

12800088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12800088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20077200).

12800088 is an abundant number, since it is smaller than the sum of its proper divisors (27354312).

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

12800088 is a wasteful number, since it uses less digits than its factorization.

12800088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 12800088 is about 3577.7210623524. The cubic root of 12800088 is about 233.9219551257.

The spelling of 12800088 in words is "twelve million, eight hundred thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 109 126 168 218 233 252 327 436 466 504 654 699 763 872 932 981 1308 1398 1526 1631 1864 1962 2097 2289 2616 2796 3052 3262 3924 4194 4578 4893 5592 6104 6524 6867 7848 8388 9156 9786 13048 13734 14679 16776 18312 19572 25397 27468 29358 39144 50794 54936 58716 76191 101588 117432 152382 177779 203176 228573 304764 355558 457146 533337 609528 711116 914292 1066674 1422232 1600011 1828584 2133348 3200022 4266696 6400044 12800088