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20786988 = 223171931173
BaseRepresentation
bin100111101001…
…0111100101100
31110010002101110
41033102330230
520310140423
62021312020
7341454315
oct117227454
943102343
1020786988
1110808632
126b65610
1343ca6c1
142a9160c
151c59193
hex13d2f2c

20786988 has 96 divisors (see below), whose sum is σ = 56125440. Its totient is φ = 5944320.

The previous prime is 20786981. The next prime is 20787001. The reversal of 20786988 is 88968702.

It is a happy number.

It is a super-2 number, since 2×207869882 = 864197740224288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20786981) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120070 + ... + 120242.

It is an arithmetic number, because the mean of its divisors is an integer number (584640).

Almost surely, 220786988 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 20786988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28062720).

20786988 is an abundant number, since it is smaller than the sum of its proper divisors (35338452).

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

20786988 is a wasteful number, since it uses less digits than its factorization.

20786988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The square root of 20786988 is about 4559.2749423565. The cubic root of 20786988 is about 274.9564140289.

The spelling of 20786988 in words is "twenty million, seven hundred eighty-six thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 12 17 19 31 34 38 51 57 62 68 76 93 102 114 124 173 186 204 228 323 346 372 519 527 589 646 692 969 1038 1054 1178 1292 1581 1767 1938 2076 2108 2356 2941 3162 3287 3534 3876 5363 5882 6324 6574 7068 8823 9861 10013 10726 11764 13148 16089 17646 19722 20026 21452 30039 32178 35292 39444 40052 55879 60078 64356 91171 101897 111758 120156 167637 182342 203794 223516 273513 305691 335274 364684 407588 547026 611382 670548 1094052 1222764 1732249 3464498 5196747 6928996 10393494 20786988