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165206132 = 22713974679
BaseRepresentation
bin10011101100011…
…01100001110100
3102111212100012122
421312031201310
5314243044012
624220535112
74044141350
oct1166154164
9374770178
10165206132
11852888a3
12473b1498
13282c4310
1417d26460
15e784e72
hex9d8d874

165206132 has 48 divisors (see below), whose sum is σ = 359573760. Its totient is φ = 64668672.

The previous prime is 165206131. The next prime is 165206183. The reversal of 165206132 is 231602561.

165206132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165206131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32969 + ... + 37647.

It is an arithmetic number, because the mean of its divisors is an integer number (7491120).

Almost surely, 2165206132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165206132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179786880).

165206132 is an abundant number, since it is smaller than the sum of its proper divisors (194367628).

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

165206132 is a wasteful number, since it uses less digits than its factorization.

165206132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4800 (or 4798 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 165206132 is about 12853.2537514825. The cubic root of 165206132 is about 548.7089630532.

Adding to 165206132 its reverse (231602561), we get a palindrome (396808693).

The spelling of 165206132 in words is "one hundred sixty-five million, two hundred six thousand, one hundred thirty-two".

Divisors: 1 2 4 7 13 14 26 28 52 91 97 182 194 364 388 679 1261 1358 2522 2716 4679 5044 8827 9358 17654 18716 32753 35308 60827 65506 121654 131012 243308 425789 453863 851578 907726 1703156 1815452 3177041 5900219 6354082 11800438 12708164 23600876 41301533 82603066 165206132