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20752116 = 22371137607
BaseRepresentation
bin100111100101…
…0011011110100
31110001022112220
41033022123310
520303031431
62020442340
7341250540
oct117123364
943038486
1020752116
1110794410
126b493b0
1343b7878
142a82a20
151c4db96
hex13ca6f4

20752116 has 96 divisors (see below), whose sum is σ = 62103552. Its totient is φ = 5235840.

The previous prime is 20752091. The next prime is 20752133. The reversal of 20752116 is 61125702.

It is a super-3 number, since 3×207521163 (a number of 23 digits) contains 333 as substring.

It is a congruent number.

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, 33885 + ... + 34491.

It is an arithmetic number, because the mean of its divisors is an integer number (646912).

Almost surely, 220752116 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 20752116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31051776).

20752116 is an abundant number, since it is smaller than the sum of its proper divisors (41351436).

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

20752116 is a wasteful number, since it uses less digits than its factorization.

20752116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 20752116 is about 4555.4490448253. The cubic root of 20752116 is about 274.8025734500.

Adding to 20752116 its reverse (61125702), we get a palindrome (81877818).

The spelling of 20752116 in words is "twenty million, seven hundred fifty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 37 42 44 66 74 77 84 111 132 148 154 222 231 259 308 407 444 462 518 607 777 814 924 1036 1214 1221 1554 1628 1821 2428 2442 2849 3108 3642 4249 4884 5698 6677 7284 8498 8547 11396 12747 13354 16996 17094 20031 22459 25494 26708 34188 40062 44918 46739 50988 67377 80124 89836 93478 134754 140217 157213 186956 247049 269508 280434 314426 471639 494098 560868 628852 741147 943278 988196 1482294 1729343 1886556 2964588 3458686 5188029 6917372 10376058 20752116