Search a number
-
+
132215760 = 2433561211
BaseRepresentation
bin1111110000101…
…11001111010000
3100012210020221000
413320113033100
5232321401020
621041502000
73163546455
oct770271720
9305706830
10132215760
11686a5726
1238341900
13215131a1
14137b982c
15b91a090
hex7e173d0

132215760 has 80 divisors (see below), whose sum is σ = 455417280. Its totient is φ = 35256960.

The previous prime is 132215729. The next prime is 132215771. The reversal of 132215760 is 67512231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28446 + ... + 32765.

It is an arithmetic number, because the mean of its divisors is an integer number (5692716).

Almost surely, 2132215760 is an apocalyptic number.

132215760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132215760 is an abundant number, since it is smaller than the sum of its proper divisors (323201520).

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

132215760 is a wasteful number, since it uses less digits than its factorization.

132215760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61233 (or 61221 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 132215760 is about 11498.5112079782. The cubic root of 132215760 is about 509.4416033701.

Adding to 132215760 its reverse (67512231), we get a palindrome (199727991).

It can be divided in two parts, 13221 and 5760, that added together give a palindrome (18981).

The spelling of 132215760 in words is "one hundred thirty-two million, two hundred fifteen thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 61211 122422 183633 244844 306055 367266 489688 550899 612110 734532 918165 979376 1101798 1224220 1469064 1652697 1836330 2203596 2448440 2754495 2938128 3305394 3672660 4407192 4896880 5508990 6610788 7345320 8263485 8814384 11017980 13221576 14690640 16526970 22035960 26443152 33053940 44071920 66107880 132215760