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5827140 = 2235511109
BaseRepresentation
bin10110001110101001000100
3101222001100000
4112032221010
52442432030
6324521300
7100346514
oct26165104
911861300
105827140
113320020
121b50230
131290417
14ab9844
157a1860
hex58ea44

5827140 has 144 divisors (see below), whose sum is σ = 20180160. Its totient is φ = 1399680.

The previous prime is 5827117. The next prime is 5827169. The reversal of 5827140 is 417285.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53406 + ... + 53514.

It is an arithmetic number, because the mean of its divisors is an integer number (140140).

Almost surely, 25827140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5827140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10090080).

5827140 is an abundant number, since it is smaller than the sum of its proper divisors (14353020).

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

5827140 is a wasteful number, since it uses less digits than its factorization.

5827140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 130 counting only the distinct ones).

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

The square root of 5827140 is about 2413.9469753911. The cubic root of 5827140 is about 179.9499861047.

It can be divided in two parts, 58271 and 40, that added together give a triangular number (58311 = T341).

The spelling of 5827140 in words is "five million, eight hundred twenty-seven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 81 90 99 108 109 110 132 135 162 165 180 198 218 220 243 270 297 324 327 330 396 405 436 486 495 540 545 594 654 660 810 891 972 981 990 1090 1188 1199 1215 1308 1485 1620 1635 1782 1962 1980 2180 2398 2430 2673 2943 2970 3270 3564 3597 3924 4455 4796 4860 4905 5346 5886 5940 5995 6540 7194 8829 8910 9810 10692 10791 11772 11990 13365 14388 14715 17658 17820 17985 19620 21582 23980 26487 26730 29430 32373 35316 35970 43164 44145 52974 53460 53955 58860 64746 71940 88290 97119 105948 107910 129492 132435 161865 176580 194238 215820 264870 291357 323730 388476 485595 529740 582714 647460 971190 1165428 1456785 1942380 2913570 5827140