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4148120 = 235103703
BaseRepresentation
bin1111110100101110011000
321210202011002
433310232120
52030214440
6224524132
750154434
oct17645630
97722132
104148120
1123835a9
121480648
13b23112
1479d9c4
1556e115
hex3f4b98

4148120 has 16 divisors (see below), whose sum is σ = 9333360. Its totient is φ = 1659232.

The previous prime is 4148101. The next prime is 4148129. The reversal of 4148120 is 218414.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4148092 and 4148101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4148129) 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, 51812 + ... + 51891.

It is an arithmetic number, because the mean of its divisors is an integer number (583335).

Almost surely, 24148120 is an apocalyptic number.

4148120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4148120 is an abundant number, since it is smaller than the sum of its proper divisors (5185240).

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

4148120 is a wasteful number, since it uses less digits than its factorization.

4148120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103714 (or 103710 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 4148120 is about 2036.6933986243. The cubic root of 4148120 is about 160.6757875100.

The spelling of 4148120 in words is "four million, one hundred forty-eight thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 103703 207406 414812 518515 829624 1037030 2074060 4148120