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20107206 = 23271937227
BaseRepresentation
bin100110010110…
…0111111000110
31101211112220100
41030230333012
520121412311
61554544530
7332623410
oct114547706
941745810
1020107206
1110393929
126898146
134220172
1429559b0
151b72a56
hex132cfc6

20107206 has 96 divisors (see below), whose sum is σ = 54063360. Its totient is φ = 5272128.

The previous prime is 20107183. The next prime is 20107207. The reversal of 20107206 is 60270102.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20107207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88465 + ... + 88691.

It is an arithmetic number, because the mean of its divisors is an integer number (563160).

Almost surely, 220107206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20107206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27031680).

20107206 is an abundant number, since it is smaller than the sum of its proper divisors (33956154).

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

20107206 is a wasteful number, since it uses less digits than its factorization.

20107206 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 295 counting only the distinct ones).

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

The square root of 20107206 is about 4484.1059309521. The cubic root of 20107206 is about 271.9259007353.

Adding to 20107206 its reverse (60270102), we get a palindrome (80377308).

It can be divided in two parts, 2010 and 7206, that added together give a square (9216 = 962).

The spelling of 20107206 in words is "twenty million, one hundred seven thousand, two hundred six".

Divisors: 1 2 3 6 7 9 14 18 19 21 37 38 42 57 63 74 111 114 126 133 171 222 227 259 266 333 342 399 454 518 666 681 703 777 798 1197 1362 1406 1554 1589 2043 2109 2331 2394 3178 4086 4218 4313 4662 4767 4921 6327 8399 8626 9534 9842 12654 12939 14301 14763 16798 25197 25878 28602 29526 30191 38817 44289 50394 58793 60382 75591 77634 88578 90573 117586 151182 159581 176379 181146 271719 319162 352758 478743 529137 543438 957486 1058274 1117067 1436229 2234134 2872458 3351201 6702402 10053603 20107206