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21138012 = 22327223521
BaseRepresentation
bin101000010100…
…0101001011100
31110202220220100
41100220221130
520402404022
62033021100
7344445600
oct120505134
943686810
1021138012
1110a28335
1270b4790
1344c13cc
142b43500
151cc81ac
hex1428a5c

21138012 has 108 divisors (see below), whose sum is σ = 64982736. Its totient is φ = 5765760.

The previous prime is 21138011. The next prime is 21138017. The reversal of 21138012 is 21083112.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21138011) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 40312 + ... + 40832.

It is an arithmetic number, because the mean of its divisors is an integer number (601692).

Almost surely, 221138012 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 21138012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32491368).

21138012 is an abundant number, since it is smaller than the sum of its proper divisors (43844724).

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

21138012 is a wasteful number, since it uses less digits than its factorization.

21138012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 21138012 is about 4597.6093787968. The cubic root of 21138012 is about 276.4954867607.

The spelling of 21138012 in words is "twenty-one million, one hundred thirty-eight thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 49 63 69 84 92 98 126 138 147 161 196 207 252 276 294 322 414 441 483 521 588 644 828 882 966 1042 1127 1449 1563 1764 1932 2084 2254 2898 3126 3381 3647 4508 4689 5796 6252 6762 7294 9378 10143 10941 11983 13524 14588 18756 20286 21882 23966 25529 32823 35949 40572 43764 47932 51058 65646 71898 76587 83881 102116 107847 131292 143796 153174 167762 215694 229761 251643 306348 335524 431388 459522 503286 587167 754929 919044 1006572 1174334 1509858 1761501 2348668 3019716 3523002 5284503 7046004 10569006 21138012