Search a number
-
+
21713376 = 253376113
BaseRepresentation
bin101001011010…
…1000111100000
31111212011011010
41102311013200
521024312001
62053220520
7352363206
oct122650740
944764133
1021713376
1111290643
127331740
134663269
142c53076
151d8d8d6
hex14b51e0

21713376 has 48 divisors (see below), whose sum is σ = 58547664. Its totient is φ = 7041024.

The previous prime is 21713359. The next prime is 21713399. The reversal of 21713376 is 67331712.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 496 + ... + 6608.

It is an arithmetic number, because the mean of its divisors is an integer number (1219743).

Almost surely, 221713376 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 21713376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29273832).

21713376 is an abundant number, since it is smaller than the sum of its proper divisors (36834288).

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

21713376 is a wasteful number, since it uses less digits than its factorization.

21713376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6163 (or 6155 counting only the distinct ones).

The product of its digits is 5292, while the sum is 30.

The square root of 21713376 is about 4659.7613672805. The cubic root of 21713376 is about 278.9817436443.

The spelling of 21713376 in words is "twenty-one million, seven hundred thirteen thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 3552 6113 12226 18339 24452 36678 48904 73356 97808 146712 195616 226181 293424 452362 586848 678543 904724 1357086 1809448 2714172 3618896 5428344 7237792 10856688 21713376