Search a number
-
+
132021396 = 223213282097
BaseRepresentation
bin1111101111001…
…11110010010100
3100012102101022100
413313213302110
5232244141041
621033402100
73162110013
oct767476224
9305371270
10132021396
11685826a1
1238269330
1321475890
1413768a7a
15b8cc6b6
hex7de7c94

132021396 has 36 divisors (see below), whose sum is σ = 359392852. Its totient is φ = 40621824.

The previous prime is 132021391. The next prime is 132021401. The reversal of 132021396 is 693120231.

It is an interprime number because it is at equal distance from previous prime (132021391) and next prime (132021401).

It can be written as a sum of positive squares in 2 ways, for example, as 19236996 + 112784400 = 4386^2 + 10620^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132021391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 140581 + ... + 141516.

Almost surely, 2132021396 is an apocalyptic number.

It is an amenable number.

132021396 is an abundant number, since it is smaller than the sum of its proper divisors (227371456).

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

132021396 is a wasteful number, since it uses less digits than its factorization.

132021396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282120 (or 282115 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 132021396 is about 11490.0563967284. The cubic root of 132021396 is about 509.1918457831.

The spelling of 132021396 in words is "one hundred thirty-two million, twenty-one thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 282097 564194 846291 1128388 1692582 2538873 3385164 3667261 5077746 7334522 10155492 11001783 14669044 22003566 33005349 44007132 66010698 132021396