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13272560 = 2457137173
BaseRepresentation
bin110010101000…
…010111110000
3220222022112022
4302220113300
511344210220
61152251012
7220546340
oct62502760
926868468
1013272560
117545964
124540a68
1329992b2
141a96d20
151272925
hexca85f0

13272560 has 80 divisors (see below), whose sum is σ = 35729856. Its totient is φ = 4491264.

The previous prime is 13272559. The next prime is 13272577. The reversal of 13272560 is 6527231.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 76634 + ... + 76806.

Almost surely, 213272560 is an apocalyptic number.

13272560 is a gapful number since it is divisible by the number (10) 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 13272560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17864928).

13272560 is an abundant number, since it is smaller than the sum of its proper divisors (22457296).

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

13272560 is a wasteful number, since it uses less digits than its factorization.

13272560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 13272560 is about 3643.1524810252. The cubic root of 13272560 is about 236.7653977624.

Adding to 13272560 its reverse (6527231), we get a palindrome (19799791).

The spelling of 13272560 in words is "thirteen million, two hundred seventy-two thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 137 140 173 274 280 346 548 560 685 692 865 959 1096 1211 1370 1384 1730 1918 2192 2422 2740 2768 3460 3836 4795 4844 5480 6055 6920 7672 9590 9688 10960 12110 13840 15344 19180 19376 23701 24220 38360 47402 48440 76720 94804 96880 118505 165907 189608 237010 331814 379216 474020 663628 829535 948040 1327256 1659070 1896080 2654512 3318140 6636280 13272560