Search a number
-
+
13444320 = 253537757
BaseRepresentation
bin110011010010…
…010011100000
3221022001010210
4303102103200
511420204240
61200054120
7222163161
oct63222340
927261123
1013444320
117652a0a
124604340
132a29526
141add768
1512a8780
hexcd24e0

13444320 has 96 divisors (see below), whose sum is σ = 43551648. Its totient is φ = 3483648.

The previous prime is 13444307. The next prime is 13444367. The reversal of 13444320 is 2344431.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17382 + ... + 18138.

It is an arithmetic number, because the mean of its divisors is an integer number (453663).

Almost surely, 213444320 is an apocalyptic number.

13444320 is a gapful number since it is divisible by the number (10) 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 13444320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21775824).

13444320 is an abundant number, since it is smaller than the sum of its proper divisors (30107328).

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

13444320 is a wasteful number, since it uses less digits than its factorization.

13444320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 13444320 is about 3666.6496969304. The cubic root of 13444320 is about 237.7823493329.

Adding to 13444320 its reverse (2344431), we get a palindrome (15788751).

The spelling of 13444320 in words is "thirteen million, four hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 74 80 96 111 120 148 160 185 222 240 296 370 444 480 555 592 740 757 888 1110 1184 1480 1514 1776 2220 2271 2960 3028 3552 3785 4440 4542 5920 6056 7570 8880 9084 11355 12112 15140 17760 18168 22710 24224 28009 30280 36336 45420 56018 60560 72672 84027 90840 112036 121120 140045 168054 181680 224072 280090 336108 363360 420135 448144 560180 672216 840270 896288 1120360 1344432 1680540 2240720 2688864 3361080 4481440 6722160 13444320