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20189676 = 223131723331
BaseRepresentation
bin100110100000…
…1000111101100
31101222202000210
41031001013230
520132032201
62000422420
7333416013
oct115010754
941882023
1020189676
111043a891
126917a10
13424b870
142977a7a
151b8c1d6
hex13411ec

20189676 has 96 divisors (see below), whose sum is σ = 56222208. Its totient is φ = 5575680.

The previous prime is 20189651. The next prime is 20189681. The reversal of 20189676 is 67698102.

20189676 = T53 + T54 + ... + T494.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60831 + ... + 61161.

It is an arithmetic number, because the mean of its divisors is an integer number (585648).

Almost surely, 220189676 is an apocalyptic number.

20189676 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20189676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28111104).

20189676 is an abundant number, since it is smaller than the sum of its proper divisors (36032532).

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

20189676 is a wasteful number, since it uses less digits than its factorization.

20189676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 20189676 is about 4493.2923341354. The cubic root of 20189676 is about 272.2971629731.

The spelling of 20189676 in words is "twenty million, one hundred eighty-nine thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 12 13 17 23 26 34 39 46 51 52 68 69 78 92 102 138 156 204 221 276 299 331 391 442 598 662 663 782 884 897 993 1173 1196 1324 1326 1564 1794 1986 2346 2652 3588 3972 4303 4692 5083 5627 7613 8606 10166 11254 12909 15226 15249 16881 17212 20332 22508 22839 25818 30452 30498 33762 45678 51636 60996 67524 73151 91356 98969 129421 146302 197938 219453 258842 292604 296907 388263 395876 438906 517684 593814 776526 877812 1187628 1553052 1682473 3364946 5047419 6729892 10094838 20189676