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13006332 = 223513381
BaseRepresentation
bin110001100111…
…010111111100
3220110210100000
4301213113330
511312200312
61142434300
7215360223
oct61472774
926423300
1013006332
117383939
124432990
132905071
141a27cba
15121dadc
hexc675fc

13006332 has 36 divisors (see below), whose sum is σ = 34097336. Its totient is φ = 4335120.

The previous prime is 13006327. The next prime is 13006333. The reversal of 13006332 is 23360031.

It is a happy number.

13006332 is a `hidden beast` number, since 1 + 30 + 0 + 633 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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 (13006333) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5719 + ... + 7662.

Almost surely, 213006332 is an apocalyptic number.

13006332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13006332 is an abundant number, since it is smaller than the sum of its proper divisors (21091004).

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

13006332 is a wasteful number, since it uses less digits than its factorization.

13006332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13400 (or 13386 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 13006332 is about 3606.4292589763. The cubic root of 13006332 is about 235.1716386044.

Adding to 13006332 its reverse (23360031), we get a palindrome (36366363).

The spelling of 13006332 in words is "thirteen million, six thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 13381 26762 40143 53524 80286 120429 160572 240858 361287 481716 722574 1083861 1445148 2167722 3251583 4335444 6503166 13006332