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21640116 = 22317374761
BaseRepresentation
bin101001010001…
…1001110110100
31111201102122210
41102203032310
521014440431
62051453420
7351636501
oct122431664
944642583
1021640116
11112405a3
1272b7270
134638b04
142c344a8
151d76d46
hex14a33b4

21640116 has 96 divisors (see below), whose sum is σ = 56996352. Its totient is φ = 6359040.

The previous prime is 21640081. The next prime is 21640121. The reversal of 21640116 is 61104612.

It is a junction number, because it is equal to n+sod(n) for n = 21640092 and 21640101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 354726 + ... + 354786.

It is an arithmetic number, because the mean of its divisors is an integer number (593712).

Almost surely, 221640116 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 21640116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28498176).

21640116 is an abundant number, since it is smaller than the sum of its proper divisors (35356236).

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

21640116 is a wasteful number, since it uses less digits than its factorization.

21640116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 21640116 is about 4651.8938079023. The cubic root of 21640116 is about 278.6676326312.

Adding to 21640116 its reverse (61104612), we get a palindrome (82744728).

The spelling of 21640116 in words is "twenty-one million, six hundred forty thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 17 34 37 47 51 61 68 74 94 102 111 122 141 148 183 188 204 222 244 282 366 444 564 629 732 799 1037 1258 1598 1739 1887 2074 2257 2397 2516 2867 3111 3196 3478 3774 4148 4514 4794 5217 5734 6222 6771 6956 7548 8601 9028 9588 10434 11468 12444 13542 17202 20868 27084 29563 34404 38369 48739 59126 76738 88689 97478 106079 115107 118252 146217 153476 177378 194956 212158 230214 292434 318237 354756 424316 460428 584868 636474 1272948 1803343 3606686 5410029 7213372 10820058 21640116