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132303816 = 23321939521
BaseRepresentation
bin1111110001011…
…00101111001000
3100012221201201100
413320230233020
5232332210231
621043421400
73164364261
oct770545710
9305851640
10132303816
11687558a7
1238384860
13215442a8
14137dd968
15b9361e6
hex7e2cbc8

132303816 has 48 divisors (see below), whose sum is σ = 360217260. Its totient is φ = 43868160.

The previous prime is 132303803. The next prime is 132303817. The reversal of 132303816 is 618303231.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 128731716 + 3572100 = 11346^2 + 1890^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 132303816.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132303817) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9136 + ... + 18656.

Almost surely, 2132303816 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 132303816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180108630).

132303816 is an abundant number, since it is smaller than the sum of its proper divisors (227913444).

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

132303816 is a wasteful number, since it uses less digits than its factorization.

132303816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9726 (or 9719 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 132303816 is about 11502.3395881012. The cubic root of 132303816 is about 509.5546746981.

The spelling of 132303816 in words is "one hundred thirty-two million, three hundred three thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 193 386 579 772 1158 1544 1737 2316 3474 4632 6948 9521 13896 19042 28563 38084 57126 76168 85689 114252 171378 228504 342756 685512 1837553 3675106 5512659 7350212 11025318 14700424 16537977 22050636 33075954 44101272 66151908 132303816