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135433032 = 23371994051
BaseRepresentation
bin10000001001010…
…00101101001000
3100102211201012020
420010220231020
5234132324112
621234444440
73233106330
oct1004505510
9312751166
10135433032
116a4a2929
1239433720
132209b6b7
1413db60c0
15bd5348c
hex8128b48

135433032 has 64 divisors (see below), whose sum is σ = 388992000. Its totient is φ = 38491200.

The previous prime is 135433019. The next prime is 135433037. The reversal of 135433032 is 230334531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 135432993 and 135433011.

It is not an unprimeable number, because it can be changed into a prime (135433037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31407 + ... + 35457.

It is an arithmetic number, because the mean of its divisors is an integer number (6078000).

Almost surely, 2135433032 is an apocalyptic number.

135433032 is a gapful number since it is divisible by the number (12) 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 135433032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194496000).

135433032 is an abundant number, since it is smaller than the sum of its proper divisors (253558968).

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

135433032 is a wasteful number, since it uses less digits than its factorization.

135433032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4266 (or 4262 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 24.

The square root of 135433032 is about 11637.5698494144. The cubic root of 135433032 is about 513.5406980666.

Adding to 135433032 its reverse (230334531), we get a palindrome (365767563).

The spelling of 135433032 in words is "one hundred thirty-five million, four hundred thirty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 199 398 597 796 1194 1393 1592 2388 2786 4051 4179 4776 5572 8102 8358 11144 12153 16204 16716 24306 28357 32408 33432 48612 56714 85071 97224 113428 170142 226856 340284 680568 806149 1612298 2418447 3224596 4836894 5643043 6449192 9673788 11286086 16929129 19347576 22572172 33858258 45144344 67716516 135433032