Search a number
-
+
13926672 = 2432175689
BaseRepresentation
bin110101001000…
…000100010000
3222012112210200
4311020010100
512031123142
61214255200
7226242354
oct65100420
928175720
1013926672
117952351
1247b7500
132b67c46
141bc7464
15135164c
hexd48110

13926672 has 60 divisors (see below), whose sum is σ = 41275260. Its totient is φ = 4368384.

The previous prime is 13926659. The next prime is 13926691. The reversal of 13926672 is 27662931.

It can be written as a sum of positive squares in 2 ways, for example, as 12278016 + 1648656 = 3504^2 + 1284^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 397 + ... + 5292.

It is an arithmetic number, because the mean of its divisors is an integer number (687921).

Almost surely, 213926672 is an apocalyptic number.

13926672 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 13926672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20637630).

13926672 is an abundant number, since it is smaller than the sum of its proper divisors (27348588).

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

13926672 is a wasteful number, since it uses less digits than its factorization.

13926672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5720 (or 5711 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 13926672 is about 3731.8456559724. The cubic root of 13926672 is about 240.5927017311.

The spelling of 13926672 in words is "thirteen million, nine hundred twenty-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 5689 11378 17067 22756 34134 45512 51201 68268 91024 96713 102402 136536 193426 204804 273072 290139 386852 409608 580278 773704 819216 870417 1160556 1547408 1740834 2321112 3481668 4642224 6963336 13926672