Search a number
-
+
132042300 = 223521333857
BaseRepresentation
bin1111101111011…
…00111000111100
3100012110102222120
413313230320330
5232300323200
621034042540
73162224655
oct767547074
9305412876
10132042300
1168597375
1238279450
1321482250
141377252c
15b8d39a0
hex7dece3c

132042300 has 72 divisors (see below), whose sum is σ = 411442416. Its totient is φ = 32501760.

The previous prime is 132042283. The next prime is 132042331. The reversal of 132042300 is 3240231.

132042300 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

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

132042300 is strictly pandigital in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 132042300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13029 + ... + 20828.

It is an arithmetic number, because the mean of its divisors is an integer number (5714478).

Almost surely, 2132042300 is an apocalyptic number.

132042300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132042300 is an abundant number, since it is smaller than the sum of its proper divisors (279400116).

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

132042300 is a wasteful number, since it uses less digits than its factorization.

132042300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33887 (or 33880 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 132042300 is about 11490.9660168325. The cubic root of 132042300 is about 509.2187191661.

Adding to 132042300 its reverse (3240231), we get a palindrome (135282531).

The spelling of 132042300 in words is "one hundred thirty-two million, forty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3900 33857 67714 101571 135428 169285 203142 338570 406284 440141 507855 677140 846425 880282 1015710 1320423 1692850 1760564 2031420 2200705 2539275 2640846 3385700 4401410 5078550 5281692 6602115 8802820 10157100 11003525 13204230 22007050 26408460 33010575 44014100 66021150 132042300