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4379040 = 253253041
BaseRepresentation
bin10000101101000110100000
322020110220200
4100231012200
52110112130
6233505200
752135611
oct20550640
98213820
104379040
112521046
121572200
13ba4263
1481dc08
155b7760
hex42d1a0

4379040 has 72 divisors (see below), whose sum is σ = 14948388. Its totient is φ = 1167360.

The previous prime is 4379033. The next prime is 4379071. The reversal of 4379040 is 409734.

It can be written as a sum of positive squares in 2 ways, for example, as 4112784 + 266256 = 2028^2 + 516^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 4378995 and 4379013.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81 + ... + 2960.

Almost surely, 24379040 is an apocalyptic number.

4379040 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 4379040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7474194).

4379040 is an abundant number, since it is smaller than the sum of its proper divisors (10569348).

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

4379040 is a wasteful number, since it uses less digits than its factorization.

4379040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3062 (or 3051 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 4379040 is about 2092.6155882053. The cubic root of 4379040 is about 163.6036432894.

The spelling of 4379040 in words is "four million, three hundred seventy-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 3041 6082 9123 12164 15205 18246 24328 27369 30410 36492 45615 48656 54738 60820 72984 91230 97312 109476 121640 136845 145968 182460 218952 243280 273690 291936 364920 437904 486560 547380 729840 875808 1094760 1459680 2189520 4379040