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260040 = 233511197
BaseRepresentation
bin111111011111001000
3111012201010
4333133020
531310130
65323520
72132064
oct773710
9435633
10260040
11168410
121065a0
1391491
146aaa4
15520b0
hex3f7c8

260040 has 64 divisors (see below), whose sum is σ = 855360. Its totient is φ = 62720.

The previous prime is 260023. The next prime is 260047. The reversal of 260040 is 40062.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 259998 and 260025.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 260040.

It is not an unprimeable number, because it can be changed into a prime (260047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1222 + ... + 1418.

It is an arithmetic number, because the mean of its divisors is an integer number (13365).

2260040 is an apocalyptic number.

260040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427680).

260040 is an abundant number, since it is smaller than the sum of its proper divisors (595320).

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

260040 is a wasteful number, since it uses less digits than its factorization.

260040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 218 counting only the distinct ones).

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

The square root of 260040 is about 509.9411730778. The cubic root of 260040 is about 63.8283158999.

The spelling of 260040 in words is "two hundred sixty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 197 220 264 330 394 440 591 660 788 985 1182 1320 1576 1970 2167 2364 2955 3940 4334 4728 5910 6501 7880 8668 10835 11820 13002 17336 21670 23640 26004 32505 43340 52008 65010 86680 130020 260040