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13980288 = 27372743
BaseRepresentation
bin110101010101…
…001010000000
3222022021100110
4311111022000
512034332123
61215351320
7226554600
oct65251200
928267313
1013980288
117989663
124822540
132b8647a
141bdcc00
151362493
hexd55280

13980288 has 96 divisors (see below), whose sum is σ = 43256160. Its totient is φ = 3988992.

The previous prime is 13980277. The next prime is 13980311. The reversal of 13980288 is 88208931.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18445 + ... + 19187.

It is an arithmetic number, because the mean of its divisors is an integer number (450585).

Almost surely, 213980288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13980288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21628080).

13980288 is an abundant number, since it is smaller than the sum of its proper divisors (29275872).

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

13980288 is an equidigital number, since it uses as much as digits as its factorization.

13980288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 13980288 is about 3739.0223321077. The cubic root of 13980288 is about 240.9010572766.

The spelling of 13980288 in words is "thirteen million, nine hundred eighty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 294 336 384 392 448 588 672 743 784 896 1176 1344 1486 1568 2229 2352 2688 2972 3136 4458 4704 5201 5944 6272 8916 9408 10402 11888 15603 17832 18816 20804 23776 31206 35664 36407 41608 47552 62412 71328 72814 83216 95104 109221 124824 142656 145628 166432 218442 249648 285312 291256 332864 436884 499296 582512 665728 873768 998592 1165024 1747536 1997184 2330048 3495072 4660096 6990144 13980288