Search a number
-
+
132330030 = 23574631361
BaseRepresentation
bin1111110001100…
…11001000101110
3100020000001200020
413320303020232
5232334030110
621044143010
73164533560
oct770631056
9306001606
10132330030
1168773568
1238397a66
13215531c1
1413809330
15b93dd70
hex7e3322e

132330030 has 64 divisors (see below), whose sum is σ = 364013568. Its totient is φ = 30159360.

The previous prime is 132329993. The next prime is 132330031. The reversal of 132330030 is 30033231.

It is a super-2 number, since 2×1323300302 = 35022473679601800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 132329991 and 132330009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132330031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96550 + ... + 97910.

It is an arithmetic number, because the mean of its divisors is an integer number (5687712).

Almost surely, 2132330030 is an apocalyptic number.

132330030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132330030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182006784).

132330030 is an abundant number, since it is smaller than the sum of its proper divisors (231683538).

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

132330030 is a wasteful number, since it uses less digits than its factorization.

132330030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1841.

The product of its (nonzero) digits is 162, while the sum is 15.

The square root of 132330030 is about 11503.4790389690. The cubic root of 132330030 is about 509.5883259929.

Adding to 132330030 its reverse (30033231), we get a palindrome (162363261).

The spelling of 132330030 in words is "one hundred thirty-two million, three hundred thirty thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 463 926 1361 1389 2315 2722 2778 3241 4083 4630 6482 6805 6945 8166 9527 9723 13610 13890 16205 19054 19446 20415 28581 32410 40830 47635 48615 57162 95270 97230 142905 285810 630143 1260286 1890429 3150715 3780858 4411001 6301430 8822002 9452145 13233003 18904290 22055005 26466006 44110010 66165015 132330030