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21686016 = 2831117151
BaseRepresentation
bin101001010111…
…0011100000000
31111210202121210
41102232130000
521022423031
62052450120
7352220352
oct122563400
944722553
1021686016
1111272030
127319940
134653981
142c470d2
151d85746
hex14ae700

21686016 has 144 divisors (see below), whose sum is σ = 67108608. Its totient is φ = 6144000.

The previous prime is 21685967. The next prime is 21686023. The reversal of 21686016 is 61068612.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143541 + ... + 143691.

It is an arithmetic number, because the mean of its divisors is an integer number (466032).

Almost surely, 221686016 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 21686016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33554304).

21686016 is an abundant number, since it is smaller than the sum of its proper divisors (45422592).

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

21686016 is a wasteful number, since it uses less digits than its factorization.

21686016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 21686016 is about 4656.8246692355. The cubic root of 21686016 is about 278.8645171518.

The spelling of 21686016 in words is "twenty-one million, six hundred eighty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 64 66 68 88 96 102 128 132 136 151 176 187 192 204 256 264 272 302 352 374 384 408 453 528 544 561 604 704 748 768 816 906 1056 1088 1122 1208 1408 1496 1632 1661 1812 2112 2176 2244 2416 2567 2816 2992 3264 3322 3624 4224 4352 4488 4832 4983 5134 5984 6528 6644 7248 7701 8448 8976 9664 9966 10268 11968 13056 13288 14496 15402 17952 19328 19932 20536 23936 26576 28237 28992 30804 35904 38656 39864 41072 47872 53152 56474 57984 61608 71808 79728 82144 84711 106304 112948 115968 123216 143616 159456 164288 169422 212608 225896 246432 318912 328576 338844 425216 451792 492864 637824 657152 677688 903584 985728 1275648 1355376 1807168 1971456 2710752 3614336 5421504 7228672 10843008 21686016