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4145440 = 255131993
BaseRepresentation
bin1111110100000100100000
321210121110211
433310010200
52030123230
6224503504
750143555
oct17640440
97717424
104145440
112381592
12147ab94
13b21b30
1479ca2c
1556d42a
hex3f4120

4145440 has 48 divisors (see below), whose sum is σ = 10552248. Its totient is φ = 1529856.

The previous prime is 4145423. The next prime is 4145459. The reversal of 4145440 is 445414.

It can be written as a sum of positive squares in 4 ways, for example, as 3055504 + 1089936 = 1748^2 + 1044^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1084 + ... + 3076.

Almost surely, 24145440 is an apocalyptic number.

4145440 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 4145440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5276124).

4145440 is an abundant number, since it is smaller than the sum of its proper divisors (6406808).

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

4145440 is a wasteful number, since it uses less digits than its factorization.

4145440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2021 (or 2013 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 4145440 is about 2036.0353631507. The cubic root of 4145440 is about 160.6411771420.

The spelling of 4145440 in words is "four million, one hundred forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 1993 2080 3986 7972 9965 15944 19930 25909 31888 39860 51818 63776 79720 103636 129545 159440 207272 259090 318880 414544 518180 829088 1036360 2072720 4145440