Search a number
-
+
21770532 = 2234729331
BaseRepresentation
bin101001100001…
…1000100100100
31111222001120000
41103003010210
521033124112
62054341300
7353021640
oct123030444
944861500
1021770532
111131a583
12735a830
134683294
142c69c20
151da07dc
hex14c3124

21770532 has 120 divisors (see below), whose sum is σ = 67488960. Its totient is φ = 5987520.

The previous prime is 21770531. The next prime is 21770543. The reversal of 21770532 is 23507712.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 21770496 and 21770505.

It is not an unprimeable number, because it can be changed into a prime (21770531) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 65607 + ... + 65937.

It is an arithmetic number, because the mean of its divisors is an integer number (562408).

Almost surely, 221770532 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 21770532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33744480).

21770532 is an abundant number, since it is smaller than the sum of its proper divisors (45718428).

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

21770532 is a wasteful number, since it uses less digits than its factorization.

21770532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 21770532 is about 4665.8902687483. The cubic root of 21770532 is about 279.2263165425.

The spelling of 21770532 in words is "twenty-one million, seven hundred seventy thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 29 36 42 54 58 63 81 84 87 108 116 126 162 174 189 203 252 261 324 331 348 378 406 522 567 609 662 756 783 812 993 1044 1134 1218 1324 1566 1827 1986 2268 2317 2349 2436 2979 3132 3654 3972 4634 4698 5481 5958 6951 7308 8937 9268 9396 9599 10962 11916 13902 16443 17874 19198 20853 21924 26811 27804 28797 32886 35748 38396 41706 53622 57594 62559 65772 67193 83412 86391 107244 115188 125118 134386 172782 187677 201579 250236 259173 268772 345564 375354 403158 518346 604737 750708 777519 806316 1036692 1209474 1555038 1814211 2418948 3110076 3628422 5442633 7256844 10885266 21770532