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135003060 = 223251514967
BaseRepresentation
bin10000000101111…
…11101110110100
3100102000212101100
420002333232310
5234030044220
621221330100
73226335633
oct1002775664
9312025340
10135003060
116a229885
1239266930
1321c7aa8a
1413d0351a
15bcbad90
hex80bfbb4

135003060 has 72 divisors (see below), whose sum is σ = 412304256. Its totient is φ = 35755200.

The previous prime is 135003059. The next prime is 135003067. The reversal of 135003060 is 60300531.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135003067) 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, 24697 + ... + 29663.

It is an arithmetic number, because the mean of its divisors is an integer number (5726448).

Almost surely, 2135003060 is an apocalyptic number.

135003060 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 135003060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206152128).

135003060 is an abundant number, since it is smaller than the sum of its proper divisors (277301196).

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

135003060 is a wasteful number, since it uses less digits than its factorization.

135003060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5133 (or 5128 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 135003060 is about 11619.0817193098. The cubic root of 135003060 is about 512.9966599192.

Adding to 135003060 its reverse (60300531), we get a palindrome (195303591).

The spelling of 135003060 in words is "one hundred thirty-five million, three thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 151 180 302 453 604 755 906 1359 1510 1812 2265 2718 3020 4530 4967 5436 6795 9060 9934 13590 14901 19868 24835 27180 29802 44703 49670 59604 74505 89406 99340 149010 178812 223515 298020 447030 750017 894060 1500034 2250051 3000068 3750085 4500102 6750153 7500170 9000204 11250255 13500306 15000340 22500510 27000612 33750765 45001020 67501530 135003060