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20179136 = 261721091
BaseRepresentation
bin100110011111…
…0100011000000
31101222012120102
41030332203000
520131213021
62000301532
7333343205
oct114764300
941865512
1020179136
111043297a
1269118a8
134246b23
142973cac
151b8900b
hex133e8c0

20179136 has 42 divisors (see below), whose sum is σ = 42575988. Its totient is φ = 9487360.

The previous prime is 20179129. The next prime is 20179139. The reversal of 20179136 is 63197102.

It is a junction number, because it is equal to n+sod(n) for n = 20179099 and 20179108.

It is not an unprimeable number, because it can be changed into a prime (20179139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17951 + ... + 19041.

It is an arithmetic number, because the mean of its divisors is an integer number (1013714).

Almost surely, 220179136 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 20179136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21287994).

20179136 is an abundant number, since it is smaller than the sum of its proper divisors (22396852).

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

20179136 is a wasteful number, since it uses less digits than its factorization.

20179136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 29.

The square root of 20179136 is about 4492.1193216565. The cubic root of 20179136 is about 272.2497705719.

The spelling of 20179136 in words is "twenty million, one hundred seventy-nine thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 289 544 578 1088 1091 1156 2182 2312 4364 4624 8728 9248 17456 18496 18547 34912 37094 69824 74188 148376 296752 315299 593504 630598 1187008 1261196 2522392 5044784 10089568 20179136