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20316768 = 2531759211
BaseRepresentation
bin100110110000…
…0001001100000
31102020012100220
41031200021200
520200114033
62003243040
7334455363
oct115401140
942205326
1020316768
111051731a
126979480
134294674
1429ac0da
151bb4bb3
hex1360260

20316768 has 96 divisors (see below), whose sum is σ = 57697920. Its totient is φ = 6236160.

The previous prime is 20316767. The next prime is 20316781. The reversal of 20316768 is 86761302.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20316761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96183 + ... + 96393.

It is an arithmetic number, because the mean of its divisors is an integer number (601020).

Almost surely, 220316768 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 20316768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28848960).

20316768 is an abundant number, since it is smaller than the sum of its proper divisors (37381152).

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

20316768 is a wasteful number, since it uses less digits than its factorization.

20316768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 20316768 is about 4507.4125615479. The cubic root of 20316768 is about 272.8673294365.

The spelling of 20316768 in words is "twenty million, three hundred sixteen thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 59 68 96 102 118 136 177 204 211 236 272 354 408 422 472 544 633 708 816 844 944 1003 1266 1416 1632 1688 1888 2006 2532 2832 3009 3376 3587 4012 5064 5664 6018 6752 7174 8024 10128 10761 12036 12449 14348 16048 20256 21522 24072 24898 28696 32096 37347 43044 48144 49796 57392 74694 86088 96288 99592 114784 149388 172176 199184 211633 298776 344352 398368 423266 597552 634899 846532 1195104 1269798 1693064 2539596 3386128 5079192 6772256 10158384 20316768