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21642712 = 23721331137
BaseRepresentation
bin101001010001…
…1110111011000
31111201120012221
41102203313120
521020031322
62051513424
7351650200
oct122436730
944646187
1021642712
1111242543
1272b8874
13463a050
142c35400
151d779c7
hex14a3dd8

21642712 has 96 divisors (see below), whose sum is σ = 52859520. Its totient is φ = 8225280.

The previous prime is 21642667. The next prime is 21642727. The reversal of 21642712 is 21724612.

It is a congruent number.

It is an unprimeable number.

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, 157908 + ... + 158044.

It is an arithmetic number, because the mean of its divisors is an integer number (550620).

Almost surely, 221642712 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 21642712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26429760).

21642712 is an abundant number, since it is smaller than the sum of its proper divisors (31216808).

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

21642712 is a wasteful number, since it uses less digits than its factorization.

21642712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 190 counting only the distinct ones).

The product of its digits is 1344, while the sum is 25.

The square root of 21642712 is about 4652.1728256805. The cubic root of 21642712 is about 278.6787753973.

The spelling of 21642712 in words is "twenty-one million, six hundred forty-two thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 13 14 26 28 31 49 52 56 62 91 98 104 124 137 182 196 217 248 274 364 392 403 434 548 637 728 806 868 959 1096 1274 1519 1612 1736 1781 1918 2548 2821 3038 3224 3562 3836 4247 5096 5642 6076 6713 7124 7672 8494 11284 12152 12467 13426 14248 16988 19747 22568 24934 26852 29729 33976 39494 49868 53704 55211 59458 78988 87269 99736 110422 118916 157976 174538 208103 220844 237832 349076 386477 416206 441688 698152 772954 832412 1545908 1664824 2705339 3091816 5410678 10821356 21642712