Search a number
-
+
4087260 = 22355292
BaseRepresentation
bin1111100101110111011100
321200122200000
433211313130
52021243020
6223334300
746512132
oct17456734
97618600
104087260
112341901
121451390
13b014c8
14785752
1555b090
hex3e5ddc

4087260 has 108 divisors (see below), whose sum is σ = 13315848. Its totient is φ = 1052352.

The previous prime is 4087253. The next prime is 4087267. The reversal of 4087260 is 627804.

It is an interprime number because it is at equal distance from previous prime (4087253) and next prime (4087267).

It is a tau number, because it is divible by the number of its divisors (108).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4087267) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 140926 + ... + 140954.

Almost surely, 24087260 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 4087260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6657924).

4087260 is an abundant number, since it is smaller than the sum of its proper divisors (9228588).

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

4087260 is a wasteful number, since it uses less digits than its factorization.

4087260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 4087260 is about 2021.6973067203. The cubic root of 4087260 is about 159.8861168774.

The spelling of 4087260 in words is "four million, eighty-seven thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 45 54 58 60 81 87 90 108 116 135 145 162 174 180 243 261 270 290 324 348 405 435 486 522 540 580 783 810 841 870 972 1044 1215 1305 1566 1620 1682 1740 2349 2430 2523 2610 3132 3364 3915 4205 4698 4860 5046 5220 7047 7569 7830 8410 9396 10092 11745 12615 14094 15138 15660 16820 22707 23490 25230 28188 30276 35235 37845 45414 46980 50460 68121 70470 75690 90828 113535 136242 140940 151380 204363 227070 272484 340605 408726 454140 681210 817452 1021815 1362420 2043630 4087260