[go: up one dir, main page]

Search a number
-
+
132535168 = 2731127263
BaseRepresentation
bin1111110011001…
…01001110000000
3100020101111001221
413321211032000
5232412111133
621052404424
73166346623
oct771451600
9306344057
10132535168
11688a36a7
1238476714
13215c569c
141385ddba
15b97ea2d
hex7e65380

132535168 has 64 divisors (see below), whose sum is σ = 275742720. Its totient is φ = 63383040.

The previous prime is 132535153. The next prime is 132535201. The reversal of 132535168 is 861535231.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 503805 + ... + 504067.

It is an arithmetic number, because the mean of its divisors is an integer number (4308480).

Almost surely, 2132535168 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 132535168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137871360).

132535168 is an abundant number, since it is smaller than the sum of its proper divisors (143207552).

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

132535168 is a wasteful number, since it uses less digits than its factorization.

132535168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 423 counting only the distinct ones).

The product of its digits is 21600, while the sum is 34.

The square root of 132535168 is about 11512.3919321747. The cubic root of 132535168 is about 509.8515113014.

The spelling of 132535168 in words is "one hundred thirty-two million, five hundred thirty-five thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 31 32 62 64 124 127 128 248 254 263 496 508 526 992 1016 1052 1984 2032 2104 3937 3968 4064 4208 7874 8128 8153 8416 15748 16256 16306 16832 31496 32612 33401 33664 62992 65224 66802 125984 130448 133604 251968 260896 267208 503936 521792 534416 1035431 1043584 1068832 2070862 2137664 4141724 4275328 8283448 16566896 33133792 66267584 132535168