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32052006 = 23271272003
BaseRepresentation
bin111101001000…
…1001100100110
32020022102002100
41322101030212
531201131011
63102552530
7536303040
oct172211446
966272070
1032052006
1117102168
12a898746
136842cac
144384a90
152c31d56
hex1e91326

32052006 has 48 divisors (see below), whose sum is σ = 80031744. Its totient is φ = 9081072.

The previous prime is 32051977. The next prime is 32052019. The reversal of 32052006 is 60025023.

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

It is a self number, because there is not a number n which added to its sum of digits gives 32052006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15001 + ... + 17003.

It is an arithmetic number, because the mean of its divisors is an integer number (1667328).

Almost surely, 232052006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32052006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40015872).

32052006 is an abundant number, since it is smaller than the sum of its proper divisors (47979738).

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

32052006 is a wasteful number, since it uses less digits than its factorization.

32052006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2145 (or 2142 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 32052006 is about 5661.4491077815. The cubic root of 32052006 is about 317.6521055964.

Adding to 32052006 its reverse (60025023), we get a palindrome (92077029).

It can be divided in two parts, 320 and 52006, that added together give a triangular number (52326 = T323).

The spelling of 32052006 in words is "thirty-two million, fifty-two thousand, six", and thus it is an eban number.

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 127 254 381 762 889 1143 1778 2003 2286 2667 4006 5334 6009 8001 12018 14021 16002 18027 28042 36054 42063 84126 126189 252378 254381 508762 763143 1526286 1780667 2289429 3561334 4578858 5342001 10684002 16026003 32052006