Search a number
-
+
132038620 = 22578910597
BaseRepresentation
bin1111101111010…
…11111111011100
3100012110020221021
413313223333130
5232300213440
621034013524
73162211150
oct767537734
9305406837
10132038620
116859462a
12382772a4
132148067c
1413771060
15b8d284a
hex7debfdc

132038620 has 48 divisors (see below), whose sum is σ = 320483520. Its totient is φ = 44757504.

The previous prime is 132038603. The next prime is 132038623. The reversal of 132038620 is 26830231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132038623) 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, 7162 + ... + 17758.

It is an arithmetic number, because the mean of its divisors is an integer number (6676740).

Almost surely, 2132038620 is an apocalyptic number.

132038620 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 132038620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160241760).

132038620 is an abundant number, since it is smaller than the sum of its proper divisors (188444900).

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

132038620 is a wasteful number, since it uses less digits than its factorization.

132038620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10702 (or 10700 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 132038620 is about 11490.8058899278. The cubic root of 132038620 is about 509.2139885045.

Adding to 132038620 its reverse (26830231), we get a palindrome (158868851).

The spelling of 132038620 in words is "one hundred thirty-two million, thirty-eight thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 89 140 178 356 445 623 890 1246 1780 2492 3115 6230 10597 12460 21194 42388 52985 74179 105970 148358 211940 296716 370895 741790 943133 1483580 1886266 3772532 4715665 6601931 9431330 13203862 18862660 26407724 33009655 66019310 132038620