Search a number
-
+
132220320 = 2535275459
BaseRepresentation
bin1111110000110…
…00010110100000
3100012210111011220
413320120112200
5232322022240
621041535040
73163565661
oct770302640
9305714156
10132220320
11686a90a1
1238344480
132151529b
14137bb368
15b91b5d0
hex7e185a0

132220320 has 48 divisors (see below), whose sum is σ = 416495520. Its totient is φ = 35258624.

The previous prime is 132220303. The next prime is 132220321. The reversal of 132220320 is 23022231.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 132220320.

It is not an unprimeable number, because it can be changed into a prime (132220321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 137250 + ... + 138209.

It is an arithmetic number, because the mean of its divisors is an integer number (8676990).

Almost surely, 2132220320 is an apocalyptic number.

132220320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132220320 is an abundant number, since it is smaller than the sum of its proper divisors (284275200).

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

132220320 is a wasteful number, since it uses less digits than its factorization.

132220320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275477 (or 275469 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 132220320 is about 11498.7094928083. The cubic root of 132220320 is about 509.4474600270.

Adding to 132220320 its reverse (23022231), we get a palindrome (155242551).

The spelling of 132220320 in words is "one hundred thirty-two million, two hundred twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 275459 550918 826377 1101836 1377295 1652754 2203672 2754590 3305508 4131885 4407344 5509180 6611016 8263770 8814688 11018360 13222032 16527540 22036720 26444064 33055080 44073440 66110160 132220320