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107020206 = 23237243101
BaseRepresentation
bin1100110000011…
…11111110101110
321110101012010100
412120033332232
5204344121311
614341451530
72436441156
oct630177656
9243335110
10107020206
1155456957
122ba10ba6
1319230c87
14102db766
1595dea56
hex660ffae

107020206 has 72 divisors (see below), whose sum is σ = 246270024. Its totient is φ = 33566400.

The previous prime is 107020189. The next prime is 107020211. The reversal of 107020206 is 602020701.

It is a happy number.

It is a super-2 number, since 2×1070202062 = 22906648984564872, which contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1059556 + ... + 1059656.

It is an arithmetic number, because the mean of its divisors is an integer number (3420417).

Almost surely, 2107020206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107020206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123135012).

107020206 is an abundant number, since it is smaller than the sum of its proper divisors (139249818).

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

107020206 is a wasteful number, since it uses less digits than its factorization.

107020206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 186 counting only the distinct ones).

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

The square root of 107020206 is about 10345.0570805578. The cubic root of 107020206 is about 474.7758218233.

Adding to 107020206 its reverse (602020701), we get a palindrome (709040907).

The spelling of 107020206 in words is "one hundred seven million, twenty thousand, two hundred six".

Divisors: 1 2 3 6 9 18 37 43 74 86 101 111 129 202 222 258 303 333 387 606 666 774 909 1369 1591 1818 2738 3182 3737 4107 4343 4773 7474 8214 8686 9546 11211 12321 13029 14319 22422 24642 26058 28638 33633 39087 58867 67266 78174 117734 138269 160691 176601 276538 321382 353202 414807 482073 529803 829614 964146 1059606 1244421 1446219 2488842 2892438 5945567 11891134 17836701 35673402 53510103 107020206