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4000260 = 22351121929
BaseRepresentation
bin1111010000101000000100
321112020022210
433100220010
52011002020
6221423420
746000365
oct17205004
97466283
104000260
112292500
12140ab70
13aa0a24
14761b6c
155403e0
hex3d0a04

4000260 has 144 divisors (see below), whose sum is σ = 13406400. Its totient is φ = 887040.

The previous prime is 4000237. The next prime is 4000261. The reversal of 4000260 is 620004.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (4000261) 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, 137926 + ... + 137954.

It is an arithmetic number, because the mean of its divisors is an integer number (93100).

Almost surely, 24000260 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 4000260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6703200).

4000260 is an abundant number, since it is smaller than the sum of its proper divisors (9406140).

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

4000260 is a wasteful number, since it uses less digits than its factorization.

4000260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 4000260 is about 2000.0649989438. The cubic root of 4000260 is about 158.7435444912.

Adding to 4000260 its reverse (620004), we get a palindrome (4620264).

The spelling of 4000260 in words is "four million, two hundred sixty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 29 30 33 38 44 55 57 58 60 66 76 87 95 110 114 116 121 132 145 165 174 190 209 220 228 242 285 290 319 330 348 363 380 418 435 484 551 570 580 605 627 638 660 726 836 870 957 1045 1102 1140 1210 1254 1276 1452 1595 1653 1740 1815 1914 2090 2204 2299 2420 2508 2755 3135 3190 3306 3509 3630 3828 4180 4598 4785 5510 6061 6270 6380 6612 6897 7018 7260 8265 9196 9570 10527 11020 11495 12122 12540 13794 14036 16530 17545 18183 19140 21054 22990 24244 27588 30305 33060 34485 35090 36366 42108 45980 52635 60610 66671 68970 70180 72732 90915 105270 121220 133342 137940 181830 200013 210540 266684 333355 363660 400026 666710 800052 1000065 1333420 2000130 4000260