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33620106 = 23132989167
BaseRepresentation
bin1000000001000…
…0000010001010
32100021002010010
42000100002022
532101320411
63200332350
7555523542
oct200200212
970232103
1033620106
1117a83313
12b3140b6
136c71970
144672322
152e417a6
hex201008a

33620106 has 64 divisors (see below), whose sum is σ = 76204800. Its totient is φ = 9816576.

The previous prime is 33620057. The next prime is 33620113. The reversal of 33620106 is 60102633.

It is a super-2 number, since 2×336201062 = 2260623054902472, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 201235 + ... + 201401.

It is an arithmetic number, because the mean of its divisors is an integer number (1190700).

Almost surely, 233620106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33620106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38102400).

33620106 is an abundant number, since it is smaller than the sum of its proper divisors (42584694).

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

33620106 is a wasteful number, since it uses less digits than its factorization.

33620106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303.

The product of its (nonzero) digits is 648, while the sum is 21.

The square root of 33620106 is about 5798.2847463711. The cubic root of 33620106 is about 322.7500806493.

Adding to 33620106 its reverse (60102633), we get a palindrome (93722739).

The spelling of 33620106 in words is "thirty-three million, six hundred twenty thousand, one hundred six".

Divisors: 1 2 3 6 13 26 29 39 58 78 87 89 167 174 178 267 334 377 501 534 754 1002 1131 1157 2171 2262 2314 2581 3471 4342 4843 5162 6513 6942 7743 9686 13026 14529 14863 15486 29058 29726 33553 44589 62959 67106 89178 100659 125918 188877 193219 201318 377754 386438 431027 579657 862054 1159314 1293081 2586162 5603351 11206702 16810053 33620106