Search a number
-
+
135410325 = 35231139419
BaseRepresentation
bin10000001001000…
…11001010010101
3100102210120001020
420010203022111
5234131112300
621234151353
73232653201
oct1004431225
9312716036
10135410325
116a487866
1239422559
132209126b
1413dabb01
15bd4b8a0
hex8123295

135410325 has 48 divisors (see below), whose sum is σ = 233318400. Its totient is φ = 69220800.

The previous prime is 135410323. The next prime is 135410339. The reversal of 135410325 is 523014531.

It is not a de Polignac number, because 135410325 - 21 = 135410323 is a prime.

It is a super-3 number, since 3×1354103253 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 135410295 and 135410304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135410323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 322966 + ... + 323384.

It is an arithmetic number, because the mean of its divisors is an integer number (4860800).

Almost surely, 2135410325 is an apocalyptic number.

135410325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135410325 is a deficient number, since it is larger than the sum of its proper divisors (97908075).

135410325 is a wasteful number, since it uses less digits than its factorization.

135410325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 135410325 is about 11636.5942182410. The cubic root of 135410325 is about 513.5119960082.

Adding to 135410325 its reverse (523014531), we get a palindrome (658424856).

The spelling of 135410325 in words is "one hundred thirty-five million, four hundred ten thousand, three hundred twenty-five".

Divisors: 1 3 5 15 25 31 75 93 139 155 417 419 465 695 775 1257 2085 2095 2325 3475 4309 6285 10425 10475 12927 12989 21545 31425 38967 58241 64635 64945 107725 174723 194835 291205 323175 324725 873615 974175 1456025 1805471 4368075 5416413 9027355 27082065 45136775 135410325