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13027280 = 245743541
BaseRepresentation
bin110001101100…
…011111010000
3220111212001212
4301230133100
511313333110
61143115252
7215505260
oct61543720
926455055
1013027280
117398652
124442b28
132911766
141a317a0
151224e05
hexc6c7d0

13027280 has 80 divisors (see below), whose sum is σ = 35485824. Its totient is φ = 4354560.

The previous prime is 13027277. The next prime is 13027309. The reversal of 13027280 is 8272031.

13027280 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

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

13027280 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23810 + ... + 24350.

Almost surely, 213027280 is an apocalyptic number.

13027280 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 13027280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17742912).

13027280 is an abundant number, since it is smaller than the sum of its proper divisors (22458544).

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

13027280 is a wasteful number, since it uses less digits than its factorization.

13027280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 13027280 is about 3609.3323482328. The cubic root of 13027280 is about 235.2978267062.

The spelling of 13027280 in words is "thirteen million, twenty-seven thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 43 56 70 80 86 112 140 172 215 280 301 344 430 541 560 602 688 860 1082 1204 1505 1720 2164 2408 2705 3010 3440 3787 4328 4816 5410 6020 7574 8656 10820 12040 15148 18935 21640 23263 24080 30296 37870 43280 46526 60592 75740 93052 116315 151480 162841 186104 232630 302960 325682 372208 465260 651364 814205 930520 1302728 1628410 1861040 2605456 3256820 6513640 13027280