Search a number
-
+
132202128 = 24361163277
BaseRepresentation
bin1111110000100…
…11111010010000
3100012202120020010
413320103322100
5232320432003
621041314520
73163461642
oct770237220
9305676203
10132202128
1168696463
1238335a40
1321509c16
14137b4892
15b916003
hex7e13e90

132202128 has 80 divisors (see below), whose sum is σ = 350511296. Its totient is φ = 42923520.

The previous prime is 132202127. The next prime is 132202129. The reversal of 132202128 is 821202231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (132202127) and next prime (132202129).

It is not an unprimeable number, because it can be changed into a prime (132202127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 477126 + ... + 477402.

Almost surely, 2132202128 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 132202128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175255648).

132202128 is an abundant number, since it is smaller than the sum of its proper divisors (218309168).

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

132202128 is a wasteful number, since it uses less digits than its factorization.

132202128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 132202128 is about 11497.9184203055. The cubic root of 132202128 is about 509.4240942456.

Adding to 132202128 its reverse (821202231), we get a palindrome (953404359).

The spelling of 132202128 in words is "one hundred thirty-two million, two hundred two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 122 163 183 244 277 326 366 488 489 554 652 732 831 976 978 1108 1304 1464 1662 1956 2216 2608 2928 3324 3912 4432 6648 7824 9943 13296 16897 19886 29829 33794 39772 45151 50691 59658 67588 79544 90302 101382 119316 135176 135453 159088 180604 202764 238632 270352 270906 361208 405528 477264 541812 722416 811056 1083624 2167248 2754211 5508422 8262633 11016844 16525266 22033688 33050532 44067376 66101064 132202128