Search a number
-
+
132419700 = 223252721019
BaseRepresentation
bin1111110010010…
…01000001110100
3100020011121200100
413321021001310
5232344412300
621050114100
73165356160
oct771110164
9306147610
10132419700
1168824976
123841b930
1321584c6a
141382dca0
15b95a700
hex7e49074

132419700 has 108 divisors (see below), whose sum is σ = 474379360. Its totient is φ = 30265920.

The previous prime is 132419699. The next prime is 132419719. The reversal of 132419700 is 7914231.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4210 + ... + 16809.

Almost surely, 2132419700 is an apocalyptic number.

132419700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132419700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237189680).

132419700 is an abundant number, since it is smaller than the sum of its proper divisors (341959660).

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

132419700 is a wasteful number, since it uses less digits than its factorization.

132419700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21046 (or 21036 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 132419700 is about 11507.3758954855. The cubic root of 132419700 is about 509.7034030916.

The spelling of 132419700 in words is "one hundred thirty-two million, four hundred nineteen thousand, seven hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 50 60 63 70 75 84 90 100 105 126 140 150 175 180 210 225 252 300 315 350 420 450 525 630 700 900 1050 1260 1575 2100 3150 6300 21019 42038 63057 84076 105095 126114 147133 189171 210190 252228 294266 315285 378342 420380 441399 525475 588532 630570 735665 756684 882798 945855 1050950 1261140 1324197 1471330 1576425 1765596 1891710 2101900 2206995 2648394 2942660 3152850 3678325 3783420 4413990 4729275 5296788 6305700 6620985 7356650 8827980 9458550 11034975 13241970 14713300 18917100 22069950 26483940 33104925 44139900 66209850 132419700