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4081140 = 2232574179
BaseRepresentation
bin1111100100010111110100
321200100021100
433210113310
52021044030
6223250100
746455240
oct17442764
97610240
104081140
112338248
121449930
13acb79b
14783420
15559360
hex3e45f4

4081140 has 144 divisors (see below), whose sum is σ = 14676480. Its totient is φ = 898560.

The previous prime is 4081111. The next prime is 4081153. The reversal of 4081140 is 411804.

4081140 = 152 + 162 + ... + 2302.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51621 + ... + 51699.

It is an arithmetic number, because the mean of its divisors is an integer number (101920).

Almost surely, 24081140 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 4081140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7338240).

4081140 is an abundant number, since it is smaller than the sum of its proper divisors (10595340).

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

4081140 is a wasteful number, since it uses less digits than its factorization.

4081140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 4081140 is about 2020.1831600130. The cubic root of 4081140 is about 159.8062759550.

Adding to 4081140 its reverse (411804), we get a palindrome (4492944).

The spelling of 4081140 in words is "four million, eighty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 41 42 45 60 63 70 79 82 84 90 105 123 126 140 158 164 180 205 210 237 246 252 287 315 316 369 395 410 420 474 492 553 574 615 630 711 738 790 820 861 948 1106 1148 1185 1230 1260 1422 1435 1476 1580 1659 1722 1845 2212 2370 2460 2583 2765 2844 2870 3239 3318 3444 3555 3690 4305 4740 4977 5166 5530 5740 6478 6636 7110 7380 8295 8610 9717 9954 10332 11060 12915 12956 14220 16195 16590 17220 19434 19908 22673 24885 25830 29151 32390 33180 38868 45346 48585 49770 51660 58302 64780 68019 90692 97170 99540 113365 116604 136038 145755 194340 204057 226730 272076 291510 340095 408114 453460 583020 680190 816228 1020285 1360380 2040570 4081140