Search a number
-
+
20821376 = 27473461
BaseRepresentation
bin100111101101…
…1010110000000
31110011211120002
41033123112000
520312241001
62022135132
7341656502
oct117332600
943154502
1020821376
1110831454
126b814a8
134410254
142a9dd72
151c6446b
hex13db580

20821376 has 32 divisors (see below), whose sum is σ = 42374880. Its totient is φ = 10186240.

The previous prime is 20821373. The next prime is 20821387. The reversal of 20821376 is 67312802.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20821373) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4286 + ... + 7746.

It is an arithmetic number, because the mean of its divisors is an integer number (1324215).

Almost surely, 220821376 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 20821376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21187440).

20821376 is an abundant number, since it is smaller than the sum of its proper divisors (21553504).

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

20821376 is an equidigital number, since it uses as much as digits as its factorization.

20821376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3522 (or 3510 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 20821376 is about 4563.0445976343. The cubic root of 20821376 is about 275.1079510068.

The spelling of 20821376 in words is "twenty million, eight hundred twenty-one thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 376 752 1504 3008 3461 6016 6922 13844 27688 55376 110752 162667 221504 325334 443008 650668 1301336 2602672 5205344 10410688 20821376