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4145840 = 245291787
BaseRepresentation
bin1111110100001010110000
321210122000122
433310022300
52030131330
6224505412
750144666
oct17641260
97718018
104145840
112381916
12147b268
13b2207a
1479cc36
1556d5e5
hex3f42b0

4145840 has 40 divisors (see below), whose sum is σ = 9977040. Its totient is φ = 1600256.

The previous prime is 4145839. The next prime is 4145849. The reversal of 4145840 is 485414.

4145840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4145849) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1427 + ... + 3213.

It is an arithmetic number, because the mean of its divisors is an integer number (249426).

Almost surely, 24145840 is an apocalyptic number.

4145840 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 4145840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4988520).

4145840 is an abundant number, since it is smaller than the sum of its proper divisors (5831200).

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

4145840 is a wasteful number, since it uses less digits than its factorization.

4145840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1829 (or 1823 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

The square root of 4145840 is about 2036.1335909021. The cubic root of 4145840 is about 160.6463438154.

The spelling of 4145840 in words is "four million, one hundred forty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 1787 2320 3574 7148 8935 14296 17870 28592 35740 51823 71480 103646 142960 207292 259115 414584 518230 829168 1036460 2072920 4145840