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20868084 = 22332331271
BaseRepresentation
bin100111110011…
…0101111110100
31110021012122000
41033212233310
520320234314
62023135300
7342242616
oct117465764
943235560
1020868084
1110863556
126ba4530
1344285a3
142ab2db6
151c73209
hex13e6bf4

20868084 has 96 divisors (see below), whose sum is σ = 58490880. Its totient is φ = 6415200.

The previous prime is 20868079. The next prime is 20868091. The reversal of 20868084 is 48086802.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 76869 + ... + 77139.

It is an arithmetic number, because the mean of its divisors is an integer number (609280).

Almost surely, 220868084 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 20868084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29245440).

20868084 is an abundant number, since it is smaller than the sum of its proper divisors (37622796).

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

20868084 is a wasteful number, since it uses less digits than its factorization.

20868084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 20868084 is about 4568.1598045603. The cubic root of 20868084 is about 275.3135113189.

The spelling of 20868084 in words is "twenty million, eight hundred sixty-eight thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 23 27 31 36 46 54 62 69 92 93 108 124 138 186 207 271 276 279 372 414 542 558 621 713 813 828 837 1084 1116 1242 1426 1626 1674 2139 2439 2484 2852 3252 3348 4278 4878 6233 6417 7317 8401 8556 9756 12466 12834 14634 16802 18699 19251 24932 25203 25668 29268 33604 37398 38502 50406 56097 74796 75609 77004 100812 112194 151218 168291 193223 224388 226827 302436 336582 386446 453654 579669 673164 772892 907308 1159338 1739007 2318676 3478014 5217021 6956028 10434042 20868084