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30252240 = 2432542017
BaseRepresentation
bin111001101100…
…1110011010000
32002220222021100
41303121303100
530221032430
63000224400
7515065644
oct163316320
962828240
1030252240
1116092a57
12a16b100
136362a45
144036c24
1529c8960
hex1cd9cd0

30252240 has 60 divisors (see below), whose sum is σ = 101599524. Its totient is φ = 8067072.

The previous prime is 30252239. The next prime is 30252251. The reversal of 30252240 is 4225203.

It can be written as a sum of positive squares in 2 ways, for example, as 7096896 + 23155344 = 2664^2 + 4812^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20289 + ... + 21728.

Almost surely, 230252240 is an apocalyptic number.

30252240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30252240 is an abundant number, since it is smaller than the sum of its proper divisors (71347284).

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

30252240 is a wasteful number, since it uses less digits than its factorization.

30252240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42036 (or 42027 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 30252240 is about 5500.2036325940. The cubic root of 30252240 is about 311.5916749171.

Adding to 30252240 its reverse (4225203), we get a palindrome (34477443).

The spelling of 30252240 in words is "thirty million, two hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 42017 84034 126051 168068 210085 252102 336136 378153 420170 504204 630255 672272 756306 840340 1008408 1260510 1512612 1680680 1890765 2016816 2521020 3025224 3361360 3781530 5042040 6050448 7563060 10084080 15126120 30252240