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20364162 = 23713219151
BaseRepresentation
bin100110110101…
…1101110000010
31102022121101020
41031223232002
520203123122
62004250310
7335043510
oct115535602
942277336
1020364162
1110549995
1269a0996
1342b0100
1429c14b0
151bc3c5c
hex136bb82

20364162 has 96 divisors (see below), whose sum is σ = 53406720. Its totient is φ = 5054400.

The previous prime is 20364161. The next prime is 20364163. The reversal of 20364162 is 26146302.

It is an interprime number because it is at equal distance from previous prime (20364161) and next prime (20364163).

It is not an unprimeable number, because it can be changed into a prime (20364161) 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 47 ways as a sum of consecutive naturals, for example, 134787 + ... + 134937.

It is an arithmetic number, because the mean of its divisors is an integer number (556320).

Almost surely, 220364162 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20364162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26703360).

20364162 is an abundant number, since it is smaller than the sum of its proper divisors (33042558).

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

20364162 is a wasteful number, since it uses less digits than its factorization.

20364162 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 20364162 is about 4512.6668390210. Note that the first 3 decimals coincide. The cubic root of 20364162 is about 273.0793420180.

The spelling of 20364162 in words is "twenty million, three hundred sixty-four thousand, one hundred sixty-two".

Divisors: 1 2 3 6 7 13 14 19 21 26 38 39 42 57 78 91 114 133 151 169 182 247 266 273 302 338 399 453 494 507 546 741 798 906 1014 1057 1183 1482 1729 1963 2114 2366 2869 3171 3211 3458 3549 3926 5187 5738 5889 6342 6422 7098 8607 9633 10374 11778 13741 17214 19266 20083 22477 25519 27482 37297 40166 41223 44954 51038 60249 67431 74594 76557 82446 111891 120498 134862 153114 178633 223782 261079 357266 484861 522158 535899 783237 969722 1071798 1454583 1566474 2909166 3394027 6788054 10182081 20364162