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16420712 = 23711192361
BaseRepresentation
bin111110101000…
…111101101000
31010220020222112
4332220331220
513200430322
61343541452
7256400540
oct76507550
933806875
1016420712
1192a6140
1255ba888
13352c1c9
142276320
1516955e2
hexfa8f68

16420712 has 128 divisors (see below), whose sum is σ = 42854400. Its totient is φ = 5702400.

The previous prime is 16420709. The next prime is 16420721. The reversal of 16420712 is 21702461.

It is a Harshad number since it is a multiple of its sum of digits (23).

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, 269162 + ... + 269222.

It is an arithmetic number, because the mean of its divisors is an integer number (334800).

Almost surely, 216420712 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 16420712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21427200).

16420712 is an abundant number, since it is smaller than the sum of its proper divisors (26433688).

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

16420712 is a wasteful number, since it uses less digits than its factorization.

16420712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 16420712 is about 4052.2477712993. The cubic root of 16420712 is about 254.1737294941.

The spelling of 16420712 in words is "sixteen million, four hundred twenty thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 11 14 19 22 23 28 38 44 46 56 61 76 77 88 92 122 133 152 154 161 184 209 244 253 266 308 322 418 427 437 488 506 532 616 644 671 836 854 874 1012 1064 1159 1288 1342 1403 1463 1672 1708 1748 1771 2024 2318 2684 2806 2926 3059 3416 3496 3542 4636 4697 4807 5368 5612 5852 6118 7084 8113 9272 9394 9614 9821 11224 11704 12236 12749 14168 15433 16226 18788 19228 19642 24472 25498 26657 30866 32452 33649 37576 38456 39284 50996 53314 61732 64904 67298 78568 89243 101992 106628 108031 123464 134596 178486 186599 213256 216062 269192 293227 356972 373198 432124 586454 713944 746396 864248 1172908 1492792 2052589 2345816 4105178 8210356 16420712