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20781696 = 2731323181
BaseRepresentation
bin100111101000…
…1101010000000
31110002211010110
41033101222000
520310003241
62021231320
7341433015
oct117215200
943084113
1020781696
1110804661
126b62540
1343c8180
142a8d70c
151c57816
hex13d1a80

20781696 has 128 divisors (see below), whose sum is σ = 62375040. Its totient is φ = 6082560.

The previous prime is 20781689. The next prime is 20781697. The reversal of 20781696 is 69618702.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (20781697) 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, 114726 + ... + 114906.

It is an arithmetic number, because the mean of its divisors is an integer number (487305).

Almost surely, 220781696 is an apocalyptic number.

20781696 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20781696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31187520).

20781696 is an abundant number, since it is smaller than the sum of its proper divisors (41593344).

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

20781696 is a wasteful number, since it uses less digits than its factorization.

20781696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 20781696 is about 4558.6945499781. The cubic root of 20781696 is about 274.9330790330.

The spelling of 20781696 in words is "twenty million, seven hundred eighty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 32 39 46 48 52 64 69 78 92 96 104 128 138 156 181 184 192 208 276 299 312 362 368 384 416 543 552 598 624 724 736 832 897 1086 1104 1196 1248 1448 1472 1664 1794 2172 2208 2353 2392 2496 2896 2944 3588 4163 4344 4416 4706 4784 4992 5792 7059 7176 8326 8688 8832 9412 9568 11584 12489 14118 14352 16652 17376 18824 19136 23168 24978 28236 28704 33304 34752 37648 38272 49956 54119 56472 57408 66608 69504 75296 99912 108238 112944 114816 133216 150592 162357 199824 216476 225888 266432 301184 324714 399648 432952 451776 532864 649428 799296 865904 903552 1298856 1598592 1731808 2597712 3463616 5195424 6927232 10390848 20781696