Search a number
-
+
21141032 = 2311793041
BaseRepresentation
bin101000010100…
…1011000101000
31110210002001012
41100221120220
520403003112
62033043052
7344460443
oct120513050
943702035
1021141032
1110a2a630
1270b6488
1344c28b3
142b4465a
151cc9022
hex1429628

21141032 has 32 divisors (see below), whose sum is σ = 43804800. Its totient is φ = 9484800.

The previous prime is 21141007. The next prime is 21141037. The reversal of 21141032 is 23014112.

It is a junction number, because it is equal to n+sod(n) for n = 21140998 and 21141016.

It is not an unprimeable number, because it can be changed into a prime (21141037) 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, 5432 + ... + 8472.

It is an arithmetic number, because the mean of its divisors is an integer number (1368900).

Almost surely, 221141032 is an apocalyptic number.

21141032 is a gapful number since it is divisible by the number (22) 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 21141032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21902400).

21141032 is an abundant number, since it is smaller than the sum of its proper divisors (22663768).

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

21141032 is a wasteful number, since it uses less digits than its factorization.

21141032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3137 (or 3133 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 21141032 is about 4597.9377986223. The cubic root of 21141032 is about 276.5086538237.

Adding to 21141032 its reverse (23014112), we get a palindrome (44155144).

Subtracting 21141032 from its reverse (23014112), we obtain a triangular number (1873080 = T1935).

The spelling of 21141032 in words is "twenty-one million, one hundred forty-one thousand, thirty-two".

Divisors: 1 2 4 8 11 22 44 79 88 158 316 632 869 1738 3041 3476 6082 6952 12164 24328 33451 66902 133804 240239 267608 480478 960956 1921912 2642629 5285258 10570516 21141032