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21657012 = 22313259181
BaseRepresentation
bin101001010011…
…1010110110100
31111202021211120
41102213112310
521021011022
62052103540
7352036656
oct122472664
944667746
1021657012
1111252263
127304bb0
134643700
142c3a6d6
151d7bd5c
hex14a75b4

21657012 has 72 divisors (see below), whose sum is σ = 55954080. Its totient is φ = 6514560.

The previous prime is 21657011. The next prime is 21657029. The reversal of 21657012 is 21075612.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21657011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119562 + ... + 119742.

It is an arithmetic number, because the mean of its divisors is an integer number (777140).

Almost surely, 221657012 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 21657012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27977040).

21657012 is an abundant number, since it is smaller than the sum of its proper divisors (34297068).

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

21657012 is a wasteful number, since it uses less digits than its factorization.

21657012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 21657012 is about 4653.7094881395. The cubic root of 21657012 is about 278.7401390735.

The spelling of 21657012 in words is "twenty-one million, six hundred fifty-seven thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 59 78 118 156 169 177 181 236 338 354 362 507 543 676 708 724 767 1014 1086 1534 2028 2172 2301 2353 3068 4602 4706 7059 9204 9412 9971 10679 14118 19942 21358 28236 29913 30589 32037 39884 42716 59826 61178 64074 91767 119652 122356 128148 138827 183534 277654 367068 416481 555308 832962 1665924 1804751 3609502 5414253 7219004 10828506 21657012