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4542120 = 23325113137
BaseRepresentation
bin10001010100111010101000
322112202121200
4101110322220
52130321440
6241204200
753415222
oct21247250
98482550
104542120
112622620
121630660
13c3055b
14863412
155eac30
hex454ea8

4542120 has 192 divisors, whose sum is σ = 17072640. Its totient is φ = 1036800.

The previous prime is 4542119. The next prime is 4542143. The reversal of 4542120 is 212454.

4542120 is a `hidden beast` number, since 4 + 542 + 120 = 666.

4542120 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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 = 4542093 and 4542102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122742 + ... + 122778.

It is an arithmetic number, because the mean of its divisors is an integer number (88920).

Almost surely, 24542120 is an apocalyptic number.

4542120 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 4542120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8536320).

4542120 is an abundant number, since it is smaller than the sum of its proper divisors (12530520).

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

4542120 is a wasteful number, since it uses less digits than its factorization.

4542120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 4542120 is about 2131.2249998534. The cubic root of 4542120 is about 165.6098642867.

Adding to 4542120 its reverse (212454), we get a palindrome (4754574).

The spelling of 4542120 in words is "four million, five hundred forty-two thousand, one hundred twenty".