Search a number
-
+
21661312 = 273153103
BaseRepresentation
bin101001010100…
…0011010000000
31111202111201211
41102220122000
521021130222
62052135504
7352055341
oct122503200
944674654
1021661312
1111255512
127307594
13464565a
142c3c0c8
151d7d277
hex14a8680

21661312 has 64 divisors (see below), whose sum is σ = 45826560. Its totient is φ = 10183680.

The previous prime is 21661307. The next prime is 21661351. The reversal of 21661312 is 21316612.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×216613122 = 938424875122688, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 210253 + ... + 210355.

It is an arithmetic number, because the mean of its divisors is an integer number (716040).

Almost surely, 221661312 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 21661312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22913280).

21661312 is an abundant number, since it is smaller than the sum of its proper divisors (24165248).

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

21661312 is a wasteful number, since it uses less digits than its factorization.

21661312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 189 counting only the distinct ones).

The product of its digits is 432, while the sum is 22.

The square root of 21661312 is about 4654.1714622476. The cubic root of 21661312 is about 278.7585858054.

Adding to 21661312 its reverse (21316612), we get a palindrome (42977924).

The spelling of 21661312 in words is "twenty-one million, six hundred sixty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 31 32 53 62 64 103 106 124 128 206 212 248 412 424 496 824 848 992 1643 1648 1696 1984 3193 3286 3296 3392 3968 5459 6386 6572 6592 6784 10918 12772 13144 13184 21836 25544 26288 43672 51088 52576 87344 102176 105152 169229 174688 204352 210304 338458 349376 408704 676916 698752 1353832 2707664 5415328 10830656 21661312