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132058206 = 23276715643
BaseRepresentation
bin1111101111100…
…00110001011110
3100012111020210200
413313300301132
5232301330311
621034244330
73162322230
oct767606136
9305436720
10132058206
11685a8315
12382866a6
1321489567
1413778250
15b8d8556
hex7df0c5e

132058206 has 48 divisors (see below), whose sum is σ = 331903104. Its totient is φ = 37165392.

The previous prime is 132058181. The next prime is 132058211. The reversal of 132058206 is 602850231.

It is a self number, because there is not a number n which added to its sum of digits gives 132058206.

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 23 ways as a sum of consecutive naturals, for example, 621 + ... + 16263.

It is an arithmetic number, because the mean of its divisors is an integer number (6914648).

Almost surely, 2132058206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132058206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165951552).

132058206 is an abundant number, since it is smaller than the sum of its proper divisors (199844898).

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

132058206 is a wasteful number, since it uses less digits than its factorization.

132058206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15725 (or 15722 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 132058206 is about 11491.6581049037. The cubic root of 132058206 is about 509.2391654113.

The spelling of 132058206 in words is "one hundred thirty-two million, fifty-eight thousand, two hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 67 126 134 201 402 469 603 938 1206 1407 2814 4221 8442 15643 31286 46929 93858 109501 140787 219002 281574 328503 657006 985509 1048081 1971018 2096162 3144243 6288486 7336567 9432729 14673134 18865458 22009701 44019402 66029103 132058206