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20677032 = 2334171877
BaseRepresentation
bin100111011100…
…0000110101000
31102220111120000
41032320012220
520243131112
62015103000
7340515615
oct116700650
942814500
1020677032
1110742a62
126b11a60
13438c63c
142a6350c
151c367dc
hex13b81a8

20677032 has 80 divisors (see below), whose sum is σ = 61354260. Its totient is φ = 6483456.

The previous prime is 20677003. The next prime is 20677037. The reversal of 20677032 is 23077602.

It can be written as a sum of positive squares in 2 ways, for example, as 19766916 + 910116 = 4446^2 + 954^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20676987 and 20677005.

It is not an unprimeable number, because it can be changed into a prime (20677037) 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 19 ways as a sum of consecutive naturals, for example, 10078 + ... + 11954.

Almost surely, 220677032 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 20677032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30677130).

20677032 is an abundant number, since it is smaller than the sum of its proper divisors (40677228).

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

20677032 is a wasteful number, since it uses less digits than its factorization.

20677032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1912 (or 1899 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 20677032 is about 4547.2004574243. The cubic root of 20677032 is about 274.4707484731.

The spelling of 20677032 in words is "twenty million, six hundred seventy-seven thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 306 324 408 459 612 648 918 1224 1377 1836 1877 2754 3672 3754 5508 5631 7508 11016 11262 15016 16893 22524 31909 33786 45048 50679 63818 67572 95727 101358 127636 135144 152037 191454 202716 255272 287181 304074 382908 405432 574362 608148 765816 861543 1148724 1216296 1723086 2297448 2584629 3446172 5169258 6892344 10338516 20677032