Search a number
-
+
21293272 = 23711132659
BaseRepresentation
bin101000100111…
…0100011011000
31111001210212201
41101032203120
520422341042
62040215544
7345663340
oct121164330
944053781
1021293272
1111023a50
12716a5b4
134546c90
142b83d20
151d091b7
hex144e8d8

21293272 has 64 divisors (see below), whose sum is σ = 53625600. Its totient is φ = 7655040.

The previous prime is 21293263. The next prime is 21293273. The reversal of 21293272 is 27239212.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 21293272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21293273) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6679 + ... + 9337.

It is an arithmetic number, because the mean of its divisors is an integer number (837900).

Almost surely, 221293272 is an apocalyptic number.

21293272 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 21293272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26812800).

21293272 is an abundant number, since it is smaller than the sum of its proper divisors (32332328).

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

21293272 is a wasteful number, since it uses less digits than its factorization.

21293272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2696 (or 2692 counting only the distinct ones).

The product of its digits is 3024, while the sum is 28.

The square root of 21293272 is about 4614.4633490797. The cubic root of 21293272 is about 277.1707948495.

The spelling of 21293272 in words is "twenty-one million, two hundred ninety-three thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 182 286 308 364 572 616 728 1001 1144 2002 2659 4004 5318 8008 10636 18613 21272 29249 34567 37226 58498 69134 74452 116996 138268 148904 204743 233992 241969 276536 380237 409486 483938 760474 818972 967876 1520948 1637944 1935752 2661659 3041896 5323318 10646636 21293272