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13277112 = 23341103131
BaseRepresentation
bin110010101001…
…011110111000
3220222112202220
4302221132320
511344331422
61152324040
7220565532
oct62513670
926875686
1013277112
117549322
124543620
13299b3a4
141a98852
151273e5c
hexca97b8

13277112 has 64 divisors (see below), whose sum is σ = 34594560. Its totient is φ = 4243200.

The previous prime is 13277101. The next prime is 13277113. The reversal of 13277112 is 21177231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13277113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101287 + ... + 101417.

It is an arithmetic number, because the mean of its divisors is an integer number (540540).

Almost surely, 213277112 is an apocalyptic number.

13277112 is a gapful number since it is divisible by the number (12) 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 13277112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17297280).

13277112 is an abundant number, since it is smaller than the sum of its proper divisors (21317448).

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

13277112 is a wasteful number, since it uses less digits than its factorization.

13277112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 280 counting only the distinct ones).

The product of its digits is 588, while the sum is 24.

The square root of 13277112 is about 3643.7771611338. Note that the first 3 decimals coincide. The cubic root of 13277112 is about 236.7924619435.

The spelling of 13277112 in words is "thirteen million, two hundred seventy-seven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 41 82 103 123 131 164 206 246 262 309 328 393 412 492 524 618 786 824 984 1048 1236 1572 2472 3144 4223 5371 8446 10742 12669 13493 16113 16892 21484 25338 26986 32226 33784 40479 42968 50676 53972 64452 80958 101352 107944 128904 161916 323832 553213 1106426 1659639 2212852 3319278 4425704 6638556 13277112