Search a number
-
+
21024528 = 243731277
BaseRepresentation
bin101000000110…
…0111100010000
31110120011020020
41100030330100
520340241103
62030343440
7343464000
oct120147420
943504206
1021024528
1110960048
12705ab80
134481865
142b14000
151ca4753
hex140cf10

21024528 has 80 divisors (see below), whose sum is σ = 63388800. Its totient is φ = 6002304.

The previous prime is 21024499. The next prime is 21024539. The reversal of 21024528 is 82542012.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 21024498 and 21024507.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15826 + ... + 17102.

It is an arithmetic number, because the mean of its divisors is an integer number (792360).

Almost surely, 221024528 is an apocalyptic number.

21024528 is a gapful number since it is divisible by the number (28) 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 21024528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31694400).

21024528 is an abundant number, since it is smaller than the sum of its proper divisors (42364272).

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

21024528 is a wasteful number, since it uses less digits than its factorization.

21024528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 21024528 is about 4585.2511381603. The cubic root of 21024528 is about 275.9997899599. Note that the first 3 decimals are identical.

The spelling of 21024528 in words is "twenty-one million, twenty-four thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 343 392 588 686 784 1029 1176 1277 1372 2058 2352 2554 2744 3831 4116 5108 5488 7662 8232 8939 10216 15324 16464 17878 20432 26817 30648 35756 53634 61296 62573 71512 107268 125146 143024 187719 214536 250292 375438 429072 438011 500584 750876 876022 1001168 1314033 1501752 1752044 2628066 3003504 3504088 5256132 7008176 10512264 21024528