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5872140 = 223251719101
BaseRepresentation
bin10110011001101000001100
3102001100001200
4112121220030
53000402030
6325505500
7100624641
oct26315014
912040050
105872140
11335090a
121b72290
1312a7a51
14acbdc8
157aed60
hex599a0c

5872140 has 144 divisors (see below), whose sum is σ = 20049120. Its totient is φ = 1382400.

The previous prime is 5872127. The next prime is 5872147. The reversal of 5872140 is 412785.

It is not an unprimeable number, because it can be changed into a prime (5872147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58090 + ... + 58190.

It is an arithmetic number, because the mean of its divisors is an integer number (139230).

Almost surely, 25872140 is an apocalyptic number.

5872140 is the 1212-nd decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5872140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10024560).

5872140 is an abundant number, since it is smaller than the sum of its proper divisors (14176980).

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

5872140 is a wasteful number, since it uses less digits than its factorization.

5872140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 5872140 is about 2423.2498839369. The cubic root of 5872140 is about 180.4120191336.

The spelling of 5872140 in words is "five million, eight hundred seventy-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 19 20 30 34 36 38 45 51 57 60 68 76 85 90 95 101 102 114 153 170 171 180 190 202 204 228 255 285 303 306 323 340 342 380 404 505 510 570 606 612 646 684 765 855 909 969 1010 1020 1140 1212 1292 1515 1530 1615 1710 1717 1818 1919 1938 2020 2907 3030 3060 3230 3420 3434 3636 3838 3876 4545 4845 5151 5757 5814 6060 6460 6868 7676 8585 9090 9595 9690 10302 11514 11628 14535 15453 17170 17271 18180 19190 19380 20604 23028 25755 28785 29070 30906 32623 34340 34542 38380 51510 57570 58140 61812 65246 69084 77265 86355 97869 103020 115140 130492 154530 163115 172710 195738 293607 309060 326230 345420 391476 489345 587214 652460 978690 1174428 1468035 1957380 2936070 5872140