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33007106 = 2112136393
BaseRepresentation
bin111110111101…
…0011000000010
32022002221020102
41331322120002
531422211411
63135242402
7550361426
oct175723002
968087212
1033007106
11176a4800
12b079402
136ab8942
144552b86
152d6ed3b
hex1f7a602

33007106 has 12 divisors (see below), whose sum is σ = 54421206. Its totient is φ = 15003120.

The previous prime is 33007097. The next prime is 33007109. The reversal of 33007106 is 60170033.

It can be written as a sum of positive squares in only one way, i.e., 22477081 + 10530025 = 4741^2 + 3245^2 .

It is not an unprimeable number, because it can be changed into a prime (33007109) 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 5 ways as a sum of consecutive naturals, for example, 67955 + ... + 68438.

Almost surely, 233007106 is an apocalyptic number.

33007106 is a deficient number, since it is larger than the sum of its proper divisors (21414100).

33007106 is a wasteful number, since it uses less digits than its factorization.

33007106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136417 (or 136406 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 20.

The square root of 33007106 is about 5745.1811111574. The cubic root of 33007106 is about 320.7764543159.

Adding to 33007106 its reverse (60170033), we get a palindrome (93177139).

The spelling of 33007106 in words is "thirty-three million, seven thousand, one hundred six".

Divisors: 1 2 11 22 121 242 136393 272786 1500323 3000646 16503553 33007106