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4146080 = 25525913
BaseRepresentation
bin1111110100001110100000
321210122100112
433310032200
52030133310
6224510452
750145461
oct17641640
97718315
104146080
112382014
12147b428
13b22203
1479cd68
1556d705
hex3f43a0

4146080 has 24 divisors (see below), whose sum is σ = 9795492. Its totient is φ = 1658368.

The previous prime is 4146073. The next prime is 4146119. The reversal of 4146080 is 806414.

4146080 = T736 + T737 + ... + T750.

It is a happy number.

4146080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4145296 + 784 = 2036^2 + 28^2 .

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 3 ways as a sum of consecutive naturals, for example, 12797 + ... + 13116.

Almost surely, 24146080 is an apocalyptic number.

4146080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4146080 is an abundant number, since it is smaller than the sum of its proper divisors (5649412).

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

4146080 is a wasteful number, since it uses less digits than its factorization.

4146080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25928 (or 25920 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 4146080 is about 2036.1925252785. The cubic root of 4146080 is about 160.6494436600.

The spelling of 4146080 in words is "four million, one hundred forty-six thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 25913 51826 103652 129565 207304 259130 414608 518260 829216 1036520 2073040 4146080