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453045120 = 273511191129
BaseRepresentation
bin11011000000001…
…110101110000000
31011120111002001220
4123000032232000
51411434420440
6112542155040
714140551153
oct3300165600
91146432056
10453045120
11212806560
12107882a80
1372b24a48
1444251c9a
1529b908d0
hex1b00eb80

453045120 has 256 divisors, whose sum is σ = 1659744000. Its totient is φ = 103956480.

The previous prime is 453045091. The next prime is 453045133. The reversal of 453045120 is 21540354.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 400716 + ... + 401844.

It is an arithmetic number, because the mean of its divisors is an integer number (6483375).

Almost surely, 2453045120 is an apocalyptic number.

453045120 is a gapful number since it is divisible by the number (40) 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 453045120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829872000).

453045120 is an abundant number, since it is smaller than the sum of its proper divisors (1206698880).

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

453045120 is a wasteful number, since it uses less digits than its factorization.

453045120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 453045120 is about 21284.8565886642. The cubic root of 453045120 is about 768.0340696691.

Adding to 453045120 its reverse (21540354), we get a palindrome (474585474).

The spelling of 453045120 in words is "four hundred fifty-three million, forty-five thousand, one hundred twenty".