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20137005 = 34577103
BaseRepresentation
bin100110011010…
…0010000101101
31101220001210000
41030310100231
520123341010
61555334513
7333106320
oct114642055
941801700
1020137005
1110404259
1268b1439
1342308b5
1429627b7
151b7b7c0
hex133442d

20137005 has 40 divisors (see below), whose sum is σ = 41260032. Its totient is φ = 9204192.

The previous prime is 20137003. The next prime is 20137043. The reversal of 20137005 is 50073102.

It is not a de Polignac number, because 20137005 - 21 = 20137003 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20137001) 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 39 ways as a sum of consecutive naturals, for example, 717 + ... + 6386.

Almost surely, 220137005 is an apocalyptic number.

It is an amenable number.

20137005 is an abundant number, since it is smaller than the sum of its proper divisors (21123027).

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

20137005 is an equidigital number, since it uses as much as digits as its factorization.

20137005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7127 (or 7118 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 20137005 is about 4487.4274367392. The cubic root of 20137005 is about 272.0601663687.

The spelling of 20137005 in words is "twenty million, one hundred thirty-seven thousand, five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 315 405 567 945 2835 7103 21309 35515 49721 63927 106545 149163 191781 248605 319635 447489 575343 745815 958905 1342467 2237445 2876715 4027401 6712335 20137005