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13480880 = 2457219181
BaseRepresentation
bin110011011011…
…001110110000
3221100220021212
4303123032300
511422342010
61200535252
7222404600
oct63331660
927326255
1013480880
117678426
124621528
132a4006a
141b0cc00
1512b4505
hexcdb3b0

13480880 has 120 divisors (see below), whose sum is σ = 38591280. Its totient is φ = 4354560.

The previous prime is 13480879. The next prime is 13480891. The reversal of 13480880 is 8808431.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 74390 + ... + 74570.

It is an arithmetic number, because the mean of its divisors is an integer number (321594).

Almost surely, 213480880 is an apocalyptic number.

13480880 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 13480880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19295640).

13480880 is an abundant number, since it is smaller than the sum of its proper divisors (25110400).

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

13480880 is a wasteful number, since it uses less digits than its factorization.

13480880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 13480880 is about 3671.6317898177. The cubic root of 13480880 is about 237.9976931726.

The spelling of 13480880 in words is "thirteen million, four hundred eighty thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 49 56 70 76 80 95 98 112 133 140 152 181 190 196 245 266 280 304 362 380 392 490 532 560 665 724 760 784 905 931 980 1064 1267 1330 1448 1520 1810 1862 1960 2128 2534 2660 2896 3439 3620 3724 3920 4655 5068 5320 6335 6878 7240 7448 8869 9310 10136 10640 12670 13756 14480 14896 17195 17738 18620 20272 24073 25340 27512 34390 35476 37240 44345 48146 50680 55024 68780 70952 74480 88690 96292 101360 120365 137560 141904 168511 177380 192584 240730 275120 337022 354760 385168 481460 674044 709520 842555 962920 1348088 1685110 1925840 2696176 3370220 6740440 13480880