Search a number
-
+
13669824 = 263721453
BaseRepresentation
bin110100001001…
…010111000000
3221201111110210
4310021113000
511444413244
61204554120
7224122500
oct64112700
927644423
1013669824
117797383
1246b2940
132aa806c
141b5ba00
1513004b9
hexd095c0

13669824 has 84 divisors (see below), whose sum is σ = 42102024. Its totient is φ = 3902976.

The previous prime is 13669823. The next prime is 13669837. The reversal of 13669824 is 42896631.

It is a tau number, because it is divible by the number of its divisors (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13669823) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8682 + ... + 10134.

Almost surely, 213669824 is an apocalyptic number.

13669824 is a gapful number since it is divisible by the number (14) 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 13669824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21051012).

13669824 is an abundant number, since it is smaller than the sum of its proper divisors (28432200).

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

13669824 is a wasteful number, since it uses less digits than its factorization.

13669824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482 (or 1465 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 13669824 is about 3697.2725082147. The cubic root of 13669824 is about 239.1044401534.

The spelling of 13669824 in words is "thirteen million, six hundred sixty-nine thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 392 448 588 672 784 1176 1344 1453 1568 2352 2906 3136 4359 4704 5812 8718 9408 10171 11624 17436 20342 23248 30513 34872 40684 46496 61026 69744 71197 81368 92992 122052 139488 142394 162736 213591 244104 278976 284788 325472 427182 488208 569576 650944 854364 976416 1139152 1708728 1952832 2278304 3417456 4556608 6834912 13669824