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20167134 = 23131767227
BaseRepresentation
bin100110011101…
…1100111011110
31101221121002220
41030323213132
520130322014
62000130210
7333263211
oct114734736
941847086
1020167134
1110424959
126906966
134241520
14296d778
151b856a9
hex133b9de

20167134 has 64 divisors (see below), whose sum is σ = 46884096. Its totient is φ = 5727744.

The previous prime is 20167127. The next prime is 20167139. The reversal of 20167134 is 43176102.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20167139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88729 + ... + 88955.

It is an arithmetic number, because the mean of its divisors is an integer number (732564).

Almost surely, 220167134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20167134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23442048).

20167134 is an abundant number, since it is smaller than the sum of its proper divisors (26716962).

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

20167134 is a wasteful number, since it uses less digits than its factorization.

20167134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329.

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 20167134 is about 4490.7832279013. The cubic root of 20167134 is about 272.1957842867.

It can be divided in two parts, 20167 and 134, that added together give a triangular number (20301 = T201).

The spelling of 20167134 in words is "twenty million, one hundred sixty-seven thousand, one hundred thirty-four".

Divisors: 1 2 3 6 13 17 26 34 39 51 67 78 102 134 201 221 227 402 442 454 663 681 871 1139 1326 1362 1742 2278 2613 2951 3417 3859 5226 5902 6834 7718 8853 11577 14807 15209 17706 23154 29614 30418 44421 45627 50167 88842 91254 100334 150501 197717 258553 301002 395434 517106 593151 775659 1186302 1551318 3361189 6722378 10083567 20167134