Search a number
-
+
13021888 = 261153349
BaseRepresentation
bin110001101011…
…001011000000
3220111120200011
4301223023000
511313200023
61143034304
7215453455
oct61531300
926446604
1013021888
1173945a0
12443b994
13290c179
141a2d82c
15122350d
hexc6b2c0

13021888 has 56 divisors (see below), whose sum is σ = 28803600. Its totient is φ = 5790720.

The previous prime is 13021861. The next prime is 13021889. The reversal of 13021888 is 88812031.

It is not an unprimeable number, because it can be changed into a prime (13021889) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37138 + ... + 37486.

It is an arithmetic number, because the mean of its divisors is an integer number (514350).

Almost surely, 213021888 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 13021888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14401800).

13021888 is an abundant number, since it is smaller than the sum of its proper divisors (15781712).

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

13021888 is a wasteful number, since it uses less digits than its factorization.

13021888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 31.

The square root of 13021888 is about 3608.5853183762. The cubic root of 13021888 is about 235.2653589165.

The spelling of 13021888 in words is "thirteen million, twenty-one thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 53 64 88 106 176 212 349 352 424 583 698 704 848 1166 1396 1696 2332 2792 3392 3839 4664 5584 7678 9328 11168 15356 18497 18656 22336 30712 36994 37312 61424 73988 122848 147976 203467 245696 295952 406934 591904 813868 1183808 1627736 3255472 6510944 13021888