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135015030 = 232510913763
BaseRepresentation
bin10000000110000…
…10101001110110
3100102001110210200
420003002221312
5234030440110
621221501330
73226415553
oct1003025166
9312043720
10135015030
116a237877
1239271846
1321c83367
1413d07a2a
15bcbe6c0
hex80c2a76

135015030 has 48 divisors (see below), whose sum is σ = 354285360. Its totient is φ = 35671104.

The previous prime is 135014993. The next prime is 135015031. The reversal of 135015030 is 30510531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 135014994 and 135015012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135015031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2929 + ... + 16691.

It is an arithmetic number, because the mean of its divisors is an integer number (7380945).

Almost surely, 2135015030 is an apocalyptic number.

135015030 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 135015030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177142680).

135015030 is an abundant number, since it is smaller than the sum of its proper divisors (219270330).

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

135015030 is a wasteful number, since it uses less digits than its factorization.

135015030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13885 (or 13882 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 135015030 is about 11619.5968088398. The cubic root of 135015030 is about 513.0118210287.

Adding to 135015030 its reverse (30510531), we get a palindrome (165525561).

It can be divided in two parts, 1350150 and 30, that multiplied together give a triangular number (40504500 = T9000).

The spelling of 135015030 in words is "one hundred thirty-five million, fifteen thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 109 218 327 545 654 981 1090 1635 1962 3270 4905 9810 13763 27526 41289 68815 82578 123867 137630 206445 247734 412890 619335 1238670 1500167 3000334 4500501 7500835 9001002 13501503 15001670 22502505 27003006 45005010 67507515 135015030