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13981275 = 3352711269
BaseRepresentation
bin110101010101…
…011001011011
3222022022201000
4311111121123
512034400100
61215400043
7226560510
oct65253133
928268630
1013981275
11798a380
124823023
132b86a59
141bdd307
151362900
hexd5565b

13981275 has 96 divisors (see below), whose sum is σ = 32140800. Its totient is φ = 5788800.

The previous prime is 13981273. The next prime is 13981291. The reversal of 13981275 is 57218931.

It is not a de Polignac number, because 13981275 - 21 = 13981273 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13981273) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51841 + ... + 52109.

It is an arithmetic number, because the mean of its divisors is an integer number (334800).

Almost surely, 213981275 is an apocalyptic number.

13981275 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13981275 is an abundant number, since it is smaller than the sum of its proper divisors (18159525).

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

13981275 is a wasteful number, since it uses less digits than its factorization.

13981275 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 295 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 13981275 is about 3739.1543161522. The cubic root of 13981275 is about 240.9067263002.

The spelling of 13981275 in words is "thirteen million, nine hundred eighty-one thousand, two hundred seventy-five".

Divisors: 1 3 5 7 9 11 15 21 25 27 33 35 45 55 63 75 77 99 105 135 165 175 189 225 231 269 275 297 315 385 495 525 675 693 807 825 945 1155 1345 1485 1575 1883 1925 2079 2421 2475 2959 3465 4035 4725 5649 5775 6725 7263 7425 8877 9415 10395 12105 14795 16947 17325 20175 20713 26631 28245 36315 44385 47075 50841 51975 60525 62139 73975 79893 84735 103565 133155 141225 181575 186417 221925 254205 310695 399465 423675 517825 559251 665775 932085 1271025 1553475 1997325 2796255 4660425 13981275