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4120144 = 24736787
BaseRepresentation
bin1111101101111001010000
321202022202221
433231321100
52023321034
6224150424
750010040
oct17557120
97668687
104120144
112364586
121468414
13b13472
14793720
15565bb4
hex3ede50

4120144 has 20 divisors (see below), whose sum is σ = 9123424. Its totient is φ = 1765728.

The previous prime is 4120141. The next prime is 4120159. The reversal of 4120144 is 4410214.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4120141) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 18282 + ... + 18505.

Almost surely, 24120144 is an apocalyptic number.

It is an amenable number.

4120144 is an abundant number, since it is smaller than the sum of its proper divisors (5003280).

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

4120144 is a wasteful number, since it uses less digits than its factorization.

4120144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36802 (or 36796 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 4120144 is about 2029.8137845625. The cubic root of 4120144 is about 160.3137593171.

Adding to 4120144 its reverse (4410214), we get a palindrome (8530358).

The spelling of 4120144 in words is "four million, one hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 36787 73574 147148 257509 294296 515018 588592 1030036 2060072 4120144