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21106638 = 23271271319
BaseRepresentation
bin101000010000…
…0111111001110
31110201022212100
41100200333032
520400403023
62032215530
7344255250
oct120407716
943638770
1021106638
1110a06803
12709a5a6
1344b0047
142b35cd0
151cbdc43
hex1420fce

21106638 has 48 divisors (see below), whose sum is σ = 52715520. Its totient is φ = 5978448.

The previous prime is 21106607. The next prime is 21106643. The reversal of 21106638 is 83660112.

21106638 is a `hidden beast` number, since 21 + 1 + 0 + 6 + 638 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15343 + ... + 16661.

It is an arithmetic number, because the mean of its divisors is an integer number (1098240).

Almost surely, 221106638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21106638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26357760).

21106638 is an abundant number, since it is smaller than the sum of its proper divisors (31608882).

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

21106638 is a wasteful number, since it uses less digits than its factorization.

21106638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1461 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 21106638 is about 4594.1961211947. The cubic root of 21106638 is about 276.3586232945.

The spelling of 21106638 in words is "twenty-one million, one hundred six thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 127 254 381 762 889 1143 1319 1778 2286 2638 2667 3957 5334 7914 8001 9233 11871 16002 18466 23742 27699 55398 83097 166194 167513 335026 502539 1005078 1172591 1507617 2345182 3015234 3517773 7035546 10553319 21106638