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13985592 = 2334161233
BaseRepresentation
bin110101010110…
…011100111000
3222022112121220
4311112130320
512040014332
61215432040
7226606215
oct65263470
928275556
1013985592
117992645
124825620
132b889ca
141c00b0c
151363d2c
hexd56738

13985592 has 64 divisors (see below), whose sum is σ = 36560160. Its totient is φ = 4454400.

The previous prime is 13985581. The next prime is 13985597. The reversal of 13985592 is 29558931.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13985597) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 59908 + ... + 60140.

Almost surely, 213985592 is an apocalyptic number.

13985592 is a gapful number since it is divisible by the number (12) 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 13985592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18280080).

13985592 is an abundant number, since it is smaller than the sum of its proper divisors (22574568).

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

13985592 is a wasteful number, since it uses less digits than its factorization.

13985592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 340 counting only the distinct ones).

The product of its digits is 97200, while the sum is 42.

The square root of 13985592 is about 3739.7315411671. The cubic root of 13985592 is about 240.9315186818.

It can be divided in two parts, 1398 and 5592, that multiplied together give a square (7817616 = 27962).

The spelling of 13985592 in words is "thirteen million, nine hundred eighty-five thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 24 41 61 82 122 123 164 183 233 244 246 328 366 466 488 492 699 732 932 984 1398 1464 1864 2501 2796 5002 5592 7503 9553 10004 14213 15006 19106 20008 28426 28659 30012 38212 42639 56852 57318 60024 76424 85278 113704 114636 170556 229272 341112 582733 1165466 1748199 2330932 3496398 4661864 6992796 13985592