Search a number
-
+
132220410 = 23572772273
BaseRepresentation
bin1111110000110…
…00010111111010
3100012210111022020
413320120113322
5232322023120
621041535310
73163566150
oct770302772
9305714266
10132220410
11686a9173
1238344536
132151533a
14137bb3d0
15b91b640
hex7e185fa

132220410 has 64 divisors (see below), whose sum is σ = 364131072. Its totient is φ = 30099456.

The previous prime is 132220393. The next prime is 132220423. The reversal of 132220410 is 14022231.

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

It is a self number, because there is not a number n which added to its sum of digits gives 132220410.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57034 + ... + 59306.

It is an arithmetic number, because the mean of its divisors is an integer number (5689548).

Almost surely, 2132220410 is an apocalyptic number.

132220410 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 132220410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182065536).

132220410 is an abundant number, since it is smaller than the sum of its proper divisors (231910662).

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

132220410 is a wasteful number, since it uses less digits than its factorization.

132220410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2567.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 132220410 is about 11498.7134062903. The cubic root of 132220410 is about 509.4475756175.

Adding to 132220410 its reverse (14022231), we get a palindrome (146242641).

The spelling of 132220410 in words is "one hundred thirty-two million, two hundred twenty thousand, four hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 277 554 831 1385 1662 1939 2273 2770 3878 4155 4546 5817 6819 8310 9695 11365 11634 13638 15911 19390 22730 29085 31822 34095 47733 58170 68190 79555 95466 159110 238665 477330 629621 1259242 1888863 3148105 3777726 4407347 6296210 8814694 9444315 13222041 18888630 22036735 26444082 44073470 66110205 132220410