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20167329 = 3713312383
BaseRepresentation
bin100110011101…
…1101010100001
31101221121101010
41030323222201
520130323304
62000131133
7333263610
oct114735241
941847333
1020167329
1110425016
126906aa9
134241640
14296d877
151b85789
hex133baa1

20167329 has 32 divisors (see below), whose sum is σ = 34177024. Its totient is φ = 10290240.

The previous prime is 20167291. The next prime is 20167333. The reversal of 20167329 is 92376102.

It is not a de Polignac number, because 20167329 - 28 = 20167073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20167296 and 20167305.

It is not an unprimeable number, because it can be changed into a prime (20167349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7272 + ... + 9654.

It is an arithmetic number, because the mean of its divisors is an integer number (1068032).

Almost surely, 220167329 is an apocalyptic number.

It is an amenable number.

20167329 is a deficient number, since it is larger than the sum of its proper divisors (14009695).

20167329 is a wasteful number, since it uses less digits than its factorization.

20167329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2437.

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 20167329 is about 4490.8049389837. The cubic root of 20167329 is about 272.1966615888.

The spelling of 20167329 in words is "twenty million, one hundred sixty-seven thousand, three hundred twenty-nine".

Divisors: 1 3 7 13 21 31 39 91 93 217 273 403 651 1209 2383 2821 7149 8463 16681 30979 50043 73873 92937 216853 221619 517111 650559 960349 1551333 2881047 6722443 20167329