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20720106 = 23211227461
BaseRepresentation
bin100111100001…
…0100111101010
31102222200122100
41033002213222
520301020411
62020034230
7341055321
oct117024752
942880570
1020720106
1110772360
126b32976
1343a6124
142a750b8
151c44456
hex13c29ea

20720106 has 48 divisors (see below), whose sum is σ = 49297248. Its totient is φ = 6237600.

The previous prime is 20720087. The next prime is 20720107. The reversal of 20720106 is 60102702.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20720107) 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 23 ways as a sum of consecutive naturals, for example, 44716 + ... + 45176.

It is an arithmetic number, because the mean of its divisors is an integer number (1027026).

Almost surely, 220720106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20720106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24648624).

20720106 is an abundant number, since it is smaller than the sum of its proper divisors (28577142).

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

20720106 is a wasteful number, since it uses less digits than its factorization.

20720106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 20720106 is about 4551.9343141131. The cubic root of 20720106 is about 274.6612070295.

Adding to 20720106 its reverse (60102702), we get a palindrome (80822808).

The spelling of 20720106 in words is "twenty million, seven hundred twenty thousand, one hundred six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 227 454 461 681 922 1362 1383 2043 2497 2766 4086 4149 4994 5071 7491 8298 10142 14982 15213 22473 30426 44946 45639 91278 104647 209294 313941 627882 941823 1151117 1883646 2302234 3453351 6906702 10360053 20720106