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13254880 = 255372239
BaseRepresentation
bin110010100100…
…000011100000
3220221102021111
4302210003200
511343124010
61152033104
7220443652
oct62440340
926842244
1013254880
117533651
124532794
132991232
141a906d2
15126c58a
hexca40e0

13254880 has 48 divisors (see below), whose sum is σ = 32175360. Its totient is φ = 5156352.

The previous prime is 13254853. The next prime is 13254889. The reversal of 13254880 is 8845231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13254889) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4801 + ... + 7039.

It is an arithmetic number, because the mean of its divisors is an integer number (670320).

Almost surely, 213254880 is an apocalyptic number.

13254880 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 13254880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16087680).

13254880 is an abundant number, since it is smaller than the sum of its proper divisors (18920480).

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

13254880 is a wasteful number, since it uses less digits than its factorization.

13254880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2291 (or 2283 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 13254880 is about 3640.7252024837. The cubic root of 13254880 is about 236.6602215618.

The spelling of 13254880 in words is "thirteen million, two hundred fifty-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 185 296 370 592 740 1184 1480 2239 2960 4478 5920 8956 11195 17912 22390 35824 44780 71648 82843 89560 165686 179120 331372 358240 414215 662744 828430 1325488 1656860 2650976 3313720 6627440 13254880