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20942688 = 2531397173
BaseRepresentation
bin100111111100…
…0111101100000
31110101222222010
41033320331200
520330131223
62024512520
7343003254
oct117707540
943358863
1020942688
1110904608
12701b740
134453530
142ad2264
151c8a393
hex13f8f60

20942688 has 96 divisors (see below), whose sum is σ = 60159456. Its totient is φ = 6340608.

The previous prime is 20942671. The next prime is 20942711. The reversal of 20942688 is 88624902.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120970 + ... + 121142.

It is an arithmetic number, because the mean of its divisors is an integer number (626661).

Almost surely, 220942688 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 20942688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30079728).

20942688 is an abundant number, since it is smaller than the sum of its proper divisors (39216768).

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

20942688 is a wasteful number, since it uses less digits than its factorization.

20942688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 20942688 is about 4576.3181707569. The cubic root of 20942688 is about 275.6412056946.

The spelling of 20942688 in words is "twenty million, nine hundred forty-two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 97 104 156 173 194 208 291 312 346 388 416 519 582 624 692 776 1038 1164 1248 1261 1384 1552 2076 2249 2328 2522 2768 3104 3783 4152 4498 4656 5044 5536 6747 7566 8304 8996 9312 10088 13494 15132 16608 16781 17992 20176 26988 30264 33562 35984 40352 50343 53976 60528 67124 71968 100686 107952 121056 134248 201372 215904 218153 268496 402744 436306 536992 654459 805488 872612 1308918 1610976 1745224 2617836 3490448 5235672 6980896 10471344 20942688