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13277088 = 2533112127
BaseRepresentation
bin110010101001…
…011110100000
3220222112202000
4302221132200
511344331323
61152324000
7220565466
oct62513640
926875660
1013277088
117549300
124543600
13299b386
141a98836
151273e43
hexca97a0

13277088 has 144 divisors (see below), whose sum is σ = 42900480. Its totient is φ = 3991680.

The previous prime is 13277063. The next prime is 13277101. The reversal of 13277088 is 88077231.

It is a tau number, because it is divible by the number of its divisors (144).

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

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 23 ways as a sum of consecutive naturals, for example, 104481 + ... + 104607.

It is an arithmetic number, because the mean of its divisors is an integer number (297920).

Almost surely, 213277088 is an apocalyptic number.

13277088 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 13277088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21450240).

13277088 is an abundant number, since it is smaller than the sum of its proper divisors (29623392).

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

13277088 is a wasteful number, since it uses less digits than its factorization.

13277088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 13277088 is about 3643.7738678464. The cubic root of 13277088 is about 236.7923192663.

The spelling of 13277088 in words is "thirteen million, two hundred seventy-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 121 127 132 144 176 198 216 242 254 264 288 297 352 363 381 396 432 484 508 528 594 726 762 792 864 968 1016 1056 1089 1143 1188 1397 1452 1524 1584 1936 2032 2178 2286 2376 2794 2904 3048 3168 3267 3429 3872 4064 4191 4356 4572 4752 5588 5808 6096 6534 6858 8382 8712 9144 9504 11176 11616 12192 12573 13068 13716 15367 16764 17424 18288 22352 25146 26136 27432 30734 33528 34848 36576 37719 44704 46101 50292 52272 54864 61468 67056 75438 92202 100584 104544 109728 122936 134112 138303 150876 184404 201168 245872 276606 301752 368808 402336 414909 491744 553212 603504 737616 829818 1106424 1207008 1475232 1659636 2212848 3319272 4425696 6638544 13277088