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20160672 = 2537191579
BaseRepresentation
bin100110011101…
…0000010100000
31101221021020120
41030322002200
520130120142
62000040240
7333235320
oct114720240
941837216
1020160672
1110420014
126903080
13423b5bc
14296b280
151b837ec
hex133a0a0

20160672 has 96 divisors (see below), whose sum is σ = 63705600. Its totient is φ = 5453568.

The previous prime is 20160667. The next prime is 20160677. The reversal of 20160672 is 27606102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20160667) and next prime (20160677).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (20160677) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11979 + ... + 13557.

It is an arithmetic number, because the mean of its divisors is an integer number (663600).

Almost surely, 220160672 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 20160672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31852800).

20160672 is an abundant number, since it is smaller than the sum of its proper divisors (43544928).

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

20160672 is a wasteful number, since it uses less digits than its factorization.

20160672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1618 (or 1610 counting only the distinct ones).

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

The square root of 20160672 is about 4490.0636966529. The cubic root of 20160672 is about 272.1667086455.

Adding to 20160672 its reverse (27606102), we get a palindrome (47766774).

The spelling of 20160672 in words is "twenty million, one hundred sixty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 76 84 96 112 114 133 152 168 224 228 266 304 336 399 456 532 608 672 798 912 1064 1579 1596 1824 2128 3158 3192 4256 4737 6316 6384 9474 11053 12632 12768 18948 22106 25264 30001 33159 37896 44212 50528 60002 66318 75792 88424 90003 120004 132636 151584 176848 180006 210007 240008 265272 353696 360012 420014 480016 530544 630021 720024 840028 960032 1061088 1260042 1440048 1680056 2520084 2880096 3360112 5040168 6720224 10080336 20160672