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13997724 = 22313531693
BaseRepresentation
bin110101011001…
…011010011100
3222100011021020
4311121122130
512040411344
61220004140
7226656456
oct65313234
928304236
1013997724
1179a0774
124830650
132b913a0
141c052d6
151367719
hexd5969c

13997724 has 48 divisors (see below), whose sum is σ = 35858592. Its totient is φ = 4223232.

The previous prime is 13997719. The next prime is 13997741. The reversal of 13997724 is 42779931.

Its product of digits (95256) is a multiple of the sum of its prime divisors (1764).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 7422 + ... + 9114.

It is an arithmetic number, because the mean of its divisors is an integer number (747054).

Almost surely, 213997724 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 13997724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17929296).

13997724 is an abundant number, since it is smaller than the sum of its proper divisors (21860868).

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

13997724 is a wasteful number, since it uses less digits than its factorization.

13997724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1766 (or 1764 counting only the distinct ones).

The product of its digits is 95256, while the sum is 42.

The square root of 13997724 is about 3741.3532311184. The cubic root of 13997724 is about 241.0011650340.

The spelling of 13997724 in words is "thirteen million, nine hundred ninety-seven thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 53 78 106 156 159 212 318 636 689 1378 1693 2067 2756 3386 4134 5079 6772 8268 10158 20316 22009 44018 66027 88036 89729 132054 179458 264108 269187 358916 538374 1076748 1166477 2332954 3499431 4665908 6998862 13997724