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132321320 = 23519434049
BaseRepresentation
bin1111110001100…
…01000000101000
3100012222121201122
413320301000220
5232333240240
621044034412
73164466305
oct770610050
9305877648
10132321320
1168767a6a
1238392a08
132154c251
14138060ac
15b93b4b5
hex7e31028

132321320 has 64 divisors (see below), whose sum is σ = 320760000. Its totient is φ = 48964608.

The previous prime is 132321311. The next prime is 132321341. The reversal of 132321320 is 23123231.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30656 + ... + 34704.

It is an arithmetic number, because the mean of its divisors is an integer number (5011875).

Almost surely, 2132321320 is an apocalyptic number.

132321320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132321320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160380000).

132321320 is an abundant number, since it is smaller than the sum of its proper divisors (188438680).

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

132321320 is a wasteful number, since it uses less digits than its factorization.

132321320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4122 (or 4118 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 132321320 is about 11503.1004516174. The cubic root of 132321320 is about 509.5771453317.

Adding to 132321320 its reverse (23123231), we get a palindrome (155444551).

The spelling of 132321320 in words is "one hundred thirty-two million, three hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 43 76 86 95 152 172 190 215 344 380 430 760 817 860 1634 1720 3268 4049 4085 6536 8098 8170 16196 16340 20245 32392 32680 40490 76931 80980 153862 161960 174107 307724 348214 384655 615448 696428 769310 870535 1392856 1538620 1741070 3077240 3308033 3482140 6616066 6964280 13232132 16540165 26464264 33080330 66160660 132321320