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13985958 = 2375361103
BaseRepresentation
bin110101010110…
…100010100110
3222022120010110
4311112202212
512040022313
61215433450
7226610250
oct65264246
928276113
1013985958
117992948
124825886
132b88c1c
141c00cd0
151363ec3
hexd568a6

13985958 has 64 divisors (see below), whose sum is σ = 33426432. Its totient is φ = 3818880.

The previous prime is 13985941. The next prime is 13985969. The reversal of 13985958 is 85958931.

13985958 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135735 + ... + 135837.

It is an arithmetic number, because the mean of its divisors is an integer number (522288).

Almost surely, 213985958 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13985958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16713216).

13985958 is an abundant number, since it is smaller than the sum of its proper divisors (19440474).

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

13985958 is a wasteful number, since it uses less digits than its factorization.

13985958 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229.

The product of its digits is 388800, while the sum is 48.

The square root of 13985958 is about 3739.7804748407. The cubic root of 13985958 is about 240.9336203725.

The spelling of 13985958 in words is "thirteen million, nine hundred eighty-five thousand, nine hundred fifty-eight".

Divisors: 1 2 3 6 7 14 21 42 53 61 103 106 122 159 183 206 309 318 366 371 427 618 721 742 854 1113 1281 1442 2163 2226 2562 3233 4326 5459 6283 6466 9699 10918 12566 16377 18849 19398 22631 32754 37698 38213 43981 45262 67893 76426 87962 114639 131943 135786 229278 263886 332999 665998 998997 1997994 2330993 4661986 6992979 13985958