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12753288 = 233419681
BaseRepresentation
bin110000101001…
…100110001000
3212222221020000
4300221212020
511231101123
61133203000
7213254412
oct60514610
925887200
1012753288
117220809
124330460
132846b32
14199d9b2
1511bdb43
hexc29988

12753288 has 40 divisors (see below), whose sum is σ = 35722830. Its totient is φ = 4250880.

The previous prime is 12753287. The next prime is 12753317. The reversal of 12753288 is 88235721.

It can be written as a sum of positive squares in only one way, i.e., 7193124 + 5560164 = 2682^2 + 2358^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12753287) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9193 + ... + 10488.

Almost surely, 212753288 is an apocalyptic number.

12753288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12753288 is an abundant number, since it is smaller than the sum of its proper divisors (22969542).

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

12753288 is a wasteful number, since it uses less digits than its factorization.

12753288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19699 (or 19686 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 12753288 is about 3571.1745966838. The cubic root of 12753288 is about 233.6365165439.

It can be divided in two parts, 12753 and 288, that added together give a triangular number (13041 = T161).

The spelling of 12753288 in words is "twelve million, seven hundred fifty-three thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 19681 39362 59043 78724 118086 157448 177129 236172 354258 472344 531387 708516 1062774 1417032 1594161 2125548 3188322 4251096 6376644 12753288