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135243030 = 23513577601
BaseRepresentation
bin10000000111110…
…10010100010110
3100102111001120010
420003322110112
5234110234110
621230421050
73231355356
oct1003722426
9312431503
10135243030
116a3830aa
1239361786
1322033080
1413d66b66
15bd17020
hex80fa516

135243030 has 64 divisors (see below), whose sum is σ = 350739648. Its totient is φ = 33177600.

The previous prime is 135242993. The next prime is 135243077. The reversal of 135243030 is 30342531.

It is a junction number, because it is equal to n+sod(n) for n = 135242988 and 135243006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 224730 + ... + 225330.

It is an arithmetic number, because the mean of its divisors is an integer number (5480307).

Almost surely, 2135243030 is an apocalyptic number.

135243030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135243030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175369824).

135243030 is an abundant number, since it is smaller than the sum of its proper divisors (215496618).

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

135243030 is a wasteful number, since it uses less digits than its factorization.

135243030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201.

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 135243030 is about 11629.4036820466. The cubic root of 135243030 is about 513.3004331344.

Adding to 135243030 its reverse (30342531), we get a palindrome (165585561).

It can be divided in two parts, 135 and 243030, that multiplied together give a triangular number (32809050 = T8100).

The spelling of 135243030 in words is "one hundred thirty-five million, two hundred forty-three thousand, thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 577 601 1154 1202 1731 1803 2885 3005 3462 3606 5770 6010 7501 7813 8655 9015 15002 15626 17310 18030 22503 23439 37505 39065 45006 46878 75010 78130 112515 117195 225030 234390 346777 693554 1040331 1733885 2080662 3467770 4508101 5201655 9016202 10403310 13524303 22540505 27048606 45081010 67621515 135243030