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20119671 = 361113193
BaseRepresentation
bin100110011000…
…0000001110111
31101212012000000
41030300001313
520122312141
61555122343
7333004635
oct114600167
941765000
1020119671
11103a2230
1268a33b3
134225a40
14295a355
151b765b6
hex1330077

20119671 has 56 divisors (see below), whose sum is σ = 35623056. Its totient is φ = 11197440.

The previous prime is 20119661. The next prime is 20119681. The reversal of 20119671 is 17691102.

It is an interprime number because it is at equal distance from previous prime (20119661) and next prime (20119681).

It is not a de Polignac number, because 20119671 - 25 = 20119639 is a prime.

It is a super-3 number, since 3×201196713 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20119621) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 104151 + ... + 104343.

It is an arithmetic number, because the mean of its divisors is an integer number (636126).

Almost surely, 220119671 is an apocalyptic number.

20119671 is a deficient number, since it is larger than the sum of its proper divisors (15503385).

20119671 is a wasteful number, since it uses less digits than its factorization.

20119671 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 20119671 is about 4485.4956247889. The cubic root of 20119671 is about 271.9820805308.

The spelling of 20119671 in words is "twenty million, one hundred nineteen thousand, six hundred seventy-one".

Divisors: 1 3 9 11 13 27 33 39 81 99 117 143 193 243 297 351 429 579 729 891 1053 1287 1737 2123 2509 2673 3159 3861 5211 6369 7527 8019 9477 11583 15633 19107 22581 27599 34749 46899 57321 67743 82797 104247 140697 171963 203229 248391 515889 609687 745173 1547667 1829061 2235519 6706557 20119671