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132541410 = 23523476167
BaseRepresentation
bin1111110011001…
…10101111100010
3100020101210122010
413321212233202
5232412311120
621052453350
73166404051
oct771465742
9306353563
10132541410
11688a8361
123847a256
13215c8491
1413862398
15b9817e0
hex7e66be2

132541410 has 128 divisors (see below), whose sum is σ = 349691904. Its totient is φ = 32060160.

The previous prime is 132541379. The next prime is 132541421. The reversal of 132541410 is 14145231.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1978197 + ... + 1978263.

It is an arithmetic number, because the mean of its divisors is an integer number (2731968).

Almost surely, 2132541410 is an apocalyptic number.

132541410 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 132541410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174845952).

132541410 is an abundant number, since it is smaller than the sum of its proper divisors (217150494).

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

132541410 is a wasteful number, since it uses less digits than its factorization.

132541410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 132541410 is about 11512.6630281616. The cubic root of 132541410 is about 509.8595153233.

Adding to 132541410 its reverse (14145231), we get a palindrome (146686641).

The spelling of 132541410 in words is "one hundred thirty-two million, five hundred forty-one thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 47 61 67 69 94 115 122 134 138 141 183 201 230 235 282 305 335 345 366 402 470 610 670 690 705 915 1005 1081 1403 1410 1541 1830 2010 2162 2806 2867 3082 3149 3243 4087 4209 4623 5405 5734 6298 6486 7015 7705 8174 8418 8601 9246 9447 10810 12261 14030 14335 15410 15745 16215 17202 18894 20435 21045 23115 24522 28670 31490 32430 40870 42090 43005 46230 47235 61305 65941 72427 86010 94001 94470 122610 131882 144854 188002 192089 197823 217281 282003 329705 362135 384178 395646 434562 470005 564006 576267 659410 724270 940010 960445 989115 1086405 1152534 1410015 1920890 1978230 2172810 2820030 2881335 4418047 5762670 8836094 13254141 22090235 26508282 44180470 66270705 132541410