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20167136 = 2511234753
BaseRepresentation
bin100110011101…
…1100111100000
31101221121002222
41030323213200
520130322021
62000130212
7333263213
oct114734740
941847088
1020167136
1110424960
126906968
134241522
14296d77a
151b856ab
hex133b9e0

20167136 has 96 divisors (see below), whose sum is σ = 47029248. Its totient is φ = 8419840.

The previous prime is 20167127. The next prime is 20167139. The reversal of 20167136 is 63176102.

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

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 380486 + ... + 380538.

It is an arithmetic number, because the mean of its divisors is an integer number (489888).

Almost surely, 220167136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20167136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23514624).

20167136 is an abundant number, since it is smaller than the sum of its proper divisors (26862112).

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

20167136 is a wasteful number, since it uses less digits than its factorization.

20167136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 20167136 is about 4490.7834505796. The cubic root of 20167136 is about 272.1957932847.

Multiplying 20167136 by its sum of digits (26), we get a triangular number (524345536 = T32383).

The spelling of 20167136 in words is "twenty million, one hundred sixty-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 47 53 88 92 94 106 176 184 188 212 253 352 368 376 424 506 517 583 736 752 848 1012 1034 1081 1166 1219 1504 1696 2024 2068 2162 2332 2438 2491 4048 4136 4324 4664 4876 4982 8096 8272 8648 9328 9752 9964 11891 13409 16544 17296 18656 19504 19928 23782 26818 27401 34592 39008 39856 47564 53636 54802 57293 79712 95128 107272 109604 114586 190256 214544 219208 229172 380512 429088 438416 458344 630223 876832 916688 1260446 1833376 2520892 5041784 10083568 20167136