Search a number
-
+
13169632 = 257237227
BaseRepresentation
bin110010001111…
…001111100000
3220210002100011
4302033033200
511332412012
61150134304
7216640300
oct62171740
926702304
1013169632
1174855a3
1244b1394
1329614a8
141a6b600
1512521a7
hexc8f3e0

13169632 has 72 divisors (see below), whose sum is σ = 31112424. Its totient is φ = 5467392.

The previous prime is 13169609. The next prime is 13169657. The reversal of 13169632 is 23696131.

13169632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13169594 and 13169603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57903 + ... + 58129.

It is an arithmetic number, because the mean of its divisors is an integer number (432117).

Almost surely, 213169632 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 13169632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15556212).

13169632 is an abundant number, since it is smaller than the sum of its proper divisors (17942792).

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

13169632 is a wasteful number, since it uses less digits than its factorization.

13169632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 273 counting only the distinct ones).

The product of its digits is 5832, while the sum is 31.

The square root of 13169632 is about 3628.9987599888. The cubic root of 13169632 is about 236.1517744385.

The spelling of 13169632 in words is "thirteen million, one hundred sixty-nine thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 37 49 56 74 98 112 148 196 224 227 259 296 392 454 518 592 784 908 1036 1184 1568 1589 1813 1816 2072 3178 3626 3632 4144 6356 7252 7264 8288 8399 11123 12712 14504 16798 22246 25424 29008 33596 44492 50848 58016 58793 67192 88984 117586 134384 177968 235172 268768 355936 411551 470344 823102 940688 1646204 1881376 3292408 6584816 13169632