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30135150 = 23252167401
BaseRepresentation
bin111001011110…
…1001101101110
32002201000122200
41302331031232
530203311100
62553522330
7514100403
oct162751556
962630580
1030135150
1116012a91
12a1133a6
136321666
1440062aa
1529a3e00
hex1cbd36e

30135150 has 72 divisors (see below), whose sum is σ = 81651024. Its totient is φ = 7968000.

The previous prime is 30135143. The next prime is 30135151. The reversal of 30135150 is 5153103.

It is a happy number.

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 (30135151) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 74950 + ... + 75350.

It is an arithmetic number, because the mean of its divisors is an integer number (1134042).

Almost surely, 230135150 is an apocalyptic number.

30135150 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30135150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40825512).

30135150 is an abundant number, since it is smaller than the sum of its proper divisors (51515874).

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

30135150 is a wasteful number, since it uses less digits than its factorization.

30135150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 578 counting only the distinct ones).

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

The square root of 30135150 is about 5489.5491618165. The cubic root of 30135150 is about 311.1891544100.

Adding to 30135150 its reverse (5153103), we get a palindrome (35288253).

It can be divided in two parts, 301351 and 50, that added together give a square (301401 = 5492).

The spelling of 30135150 in words is "thirty million, one hundred thirty-five thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 167 225 334 401 450 501 802 835 1002 1203 1503 1670 2005 2406 2505 3006 3609 4010 4175 5010 6015 7218 7515 8350 10025 12030 12525 15030 18045 20050 25050 30075 36090 37575 60150 66967 75150 90225 133934 180450 200901 334835 401802 602703 669670 1004505 1205406 1674175 2009010 3013515 3348350 5022525 6027030 10045050 15067575 30135150