Search a number
-
+
132040200 = 23352359613
BaseRepresentation
bin1111101111011…
…00011000001000
3100012110100002210
413313230120020
5232300241300
621034025120
73162215565
oct767543010
9305410083
10132040200
1168595836
12382781a0
13214812c6
141377186c
15b8d3050
hex7dec608

132040200 has 96 divisors (see below), whose sum is σ = 411134400. Its totient is φ = 35055360.

The previous prime is 132040193. The next prime is 132040201. The reversal of 132040200 is 2040231.

It is a super-2 number, since 2×1320402002 = 34869228832080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (132040201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 215094 + ... + 215706.

It is an arithmetic number, because the mean of its divisors is an integer number (4282650).

Almost surely, 2132040200 is an apocalyptic number.

132040200 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 132040200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205567200).

132040200 is an abundant number, since it is smaller than the sum of its proper divisors (279094200).

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

132040200 is a wasteful number, since it uses less digits than its factorization.

132040200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 132040200 is about 11490.8746403396. The cubic root of 132040200 is about 509.2160196145.

Adding to 132040200 its reverse (2040231), we get a palindrome (134080431).

The spelling of 132040200 in words is "one hundred thirty-two million, forty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 359 600 613 718 1077 1226 1436 1795 1839 2154 2452 2872 3065 3590 3678 4308 4904 5385 6130 7180 7356 8616 8975 9195 10770 12260 14360 14712 15325 17950 18390 21540 24520 26925 30650 35900 36780 43080 45975 53850 61300 71800 73560 91950 107700 122600 183900 215400 220067 367800 440134 660201 880268 1100335 1320402 1760536 2200670 2640804 3301005 4401340 5281608 5501675 6602010 8802680 11003350 13204020 16505025 22006700 26408040 33010050 44013400 66020100 132040200