Search a number
-
+
21023352 = 23327259101
BaseRepresentation
bin101000000110…
…0101001111000
31110120002121200
41100030221320
520340221402
62030334200
7343460400
oct120145170
943502550
1021023352
111095a179
12705a360
13448116c
142b13800
151ca421c
hex140ca78

21023352 has 144 divisors (see below), whose sum is σ = 68023800. Its totient is φ = 5846400.

The previous prime is 21023341. The next prime is 21023381. The reversal of 21023352 is 25332012.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 208102 + ... + 208202.

Almost surely, 221023352 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 21023352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34011900).

21023352 is an abundant number, since it is smaller than the sum of its proper divisors (47000448).

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

21023352 is a wasteful number, since it uses less digits than its factorization.

21023352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 21023352 is about 4585.1228991162. The cubic root of 21023352 is about 275.9946438784.

Adding to 21023352 its reverse (25332012), we get a palindrome (46355364).

The spelling of 21023352 in words is "twenty-one million, twenty-three thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 59 63 72 84 98 101 118 126 147 168 177 196 202 236 252 294 303 354 392 404 413 441 472 504 531 588 606 707 708 808 826 882 909 1062 1176 1212 1239 1414 1416 1652 1764 1818 2121 2124 2424 2478 2828 2891 3304 3528 3636 3717 4242 4248 4949 4956 5656 5782 5959 6363 7272 7434 8484 8673 9898 9912 11564 11918 12726 14847 14868 16968 17346 17877 19796 23128 23836 25452 26019 29694 29736 34692 35754 39592 41713 44541 47672 50904 52038 53631 59388 69384 71508 83426 89082 104076 107262 118776 125139 143016 166852 178164 208152 214524 250278 291991 333704 356328 375417 429048 500556 583982 750834 875973 1001112 1167964 1501668 1751946 2335928 2627919 3003336 3503892 5255838 7007784 10511676 21023352