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2086164 = 2232167347
BaseRepresentation
bin111111101010100010100
310220222200100
413331110110
51013224124
6112414100
723506053
oct7752424
93828610
102086164
1111a5403
12847330
13580722
143c439a
152b31c9
hex1fd514

2086164 has 36 divisors (see below), whose sum is σ = 5320224. Its totient is φ = 689232.

The previous prime is 2086159. The next prime is 2086187. The reversal of 2086164 is 4616802.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×20861643 = 27237459333454736832, which contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5839 + ... + 6185.

It is an arithmetic number, because the mean of its divisors is an integer number (147784).

22086164 is an apocalyptic number.

It is an amenable number.

2086164 is an abundant number, since it is smaller than the sum of its proper divisors (3234060).

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

2086164 is a wasteful number, since it uses less digits than its factorization.

2086164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2086164 is about 1444.3559118168. The cubic root of 2086164 is about 127.7760569957.

The spelling of 2086164 in words is "two million, eighty-six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 167 334 347 501 668 694 1002 1041 1388 1503 2004 2082 3006 3123 4164 6012 6246 12492 57949 115898 173847 231796 347694 521541 695388 1043082 2086164