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132213320 = 23529293389
BaseRepresentation
bin1111110000101…
…10101001001000
3100012210010120122
413320112221020
5232321311240
621041442412
73163536401
oct770265110
9305703518
10132213320
11686a3908
1238340408
1321512045
14137b89a8
15b9194b5
hex7e16a48

132213320 has 64 divisors (see below), whose sum is σ = 309582000. Its totient is φ = 50756608.

The previous prime is 132213283. The next prime is 132213331. The reversal of 132213320 is 23312231.

It can be written as a sum of positive squares in 8 ways, for example, as 76352644 + 55860676 = 8738^2 + 7474^2 .

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 15 ways as a sum of consecutive naturals, for example, 339686 + ... + 340074.

Almost surely, 2132213320 is an apocalyptic number.

132213320 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 132213320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154791000).

132213320 is an abundant number, since it is smaller than the sum of its proper divisors (177368680).

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

132213320 is a wasteful number, since it uses less digits than its factorization.

132213320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 718 counting only the distinct ones).

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

The square root of 132213320 is about 11498.4051067963. The cubic root of 132213320 is about 509.4384694897.

Adding to 132213320 its reverse (23312231), we get a palindrome (155525551).

The spelling of 132213320 in words is "one hundred thirty-two million, two hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 293 389 580 586 778 1160 1172 1465 1556 1945 2344 2930 3112 3890 5860 7780 8497 11281 11720 15560 16994 22562 33988 42485 45124 56405 67976 84970 90248 112810 113977 169940 225620 227954 339880 451240 455908 569885 911816 1139770 2279540 3305333 4559080 6610666 13221332 16526665 26442664 33053330 66106660 132213320