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20010816 = 263272709
BaseRepresentation
bin100110001010…
…1011101000000
31101122122200100
41030111131000
520110321231
61552522400
7332042400
oct114253500
941578610
1020010816
1110328471
126850400
1341b8327
14292c800
151b541e6
hex1315740

20010816 has 126 divisors (see below), whose sum is σ = 66815970. Its totient is φ = 5709312.

The previous prime is 20010811. The next prime is 20010847. The reversal of 20010816 is 61801002.

It can be written as a sum of positive squares in only one way, i.e., 13660416 + 6350400 = 3696^2 + 2520^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20010811) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 27870 + ... + 28578.

Almost surely, 220010816 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 20010816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33407985).

20010816 is an abundant number, since it is smaller than the sum of its proper divisors (46805154).

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

20010816 is a wasteful number, since it uses less digits than its factorization.

20010816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 20010816 is about 4473.3450571133. The cubic root of 20010816 is about 271.4906847429.

Adding to 20010816 its reverse (61801002), we get a palindrome (81811818).

The spelling of 20010816 in words is "twenty million, ten thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 144 147 168 192 196 224 252 288 294 336 392 441 448 504 576 588 672 709 784 882 1008 1176 1344 1418 1568 1764 2016 2127 2352 2836 3136 3528 4032 4254 4704 4963 5672 6381 7056 8508 9408 9926 11344 12762 14112 14889 17016 19852 22688 25524 28224 29778 34032 34741 39704 44667 45376 51048 59556 68064 69482 79408 89334 102096 104223 119112 136128 138964 158816 178668 204192 208446 238224 277928 312669 317632 357336 408384 416892 476448 555856 625338 714672 833784 952896 1111712 1250676 1429344 1667568 2223424 2501352 2858688 3335136 5002704 6670272 10005408 20010816