Search a number
-
+
132886410 = 23523292229
BaseRepresentation
bin1111110101110…
…10111110001010
3100021001022212220
413322322332022
5233004331120
621104114510
73202341636
oct772727612
9307038786
10132886410
1169013588
1238605a36
13216b9517
1413911dc6
15b9edb40
hex7ebaf8a

132886410 has 96 divisors (see below), whose sum is σ = 346170240. Its totient is φ = 32583936.

The previous prime is 132886379. The next prime is 132886427. The reversal of 132886410 is 14688231.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 580176 + ... + 580404.

It is an arithmetic number, because the mean of its divisors is an integer number (3605940).

Almost surely, 2132886410 is an apocalyptic number.

132886410 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 132886410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173085120).

132886410 is an abundant number, since it is smaller than the sum of its proper divisors (213283830).

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

132886410 is a wasteful number, since it uses less digits than its factorization.

132886410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 132886410 is about 11527.6367916412. The cubic root of 132886410 is about 510.3015133664.

The spelling of 132886410 in words is "one hundred thirty-two million, eight hundred eighty-six thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 23 29 30 46 58 69 87 115 138 145 174 229 230 290 345 435 458 667 687 690 841 870 1145 1334 1374 1682 2001 2290 2523 3335 3435 4002 4205 5046 5267 6641 6670 6870 8410 10005 10534 12615 13282 15801 19343 19923 20010 25230 26335 31602 33205 38686 39846 52670 58029 66410 79005 96715 99615 116058 152743 158010 192589 193430 199230 290145 305486 385178 458229 577767 580290 763715 916458 962945 1155534 1527430 1925890 2291145 2888835 4429547 4582290 5777670 8859094 13288641 22147735 26577282 44295470 66443205 132886410