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260100 = 223252172
BaseRepresentation
bin111111100000000100
3111012210100
4333200010
531310400
65324100
72132211
oct774004
9435710
10260100
11168465
12106630
1391509
146ab08
1552100
hex3f804

260100 has 81 divisors (see below), whose sum is σ = 866047. Its totient is φ = 65280.

The previous prime is 260089. The next prime is 260111. The reversal of 260100 is 1062.

The square root of 260100 is 510.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (260089) and next prime (260111).

It can be written as a sum of positive squares in 4 ways, for example, as 6084 + 254016 = 78^2 + 504^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a nialpdrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 260100.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15292 + ... + 15308.

2260100 is an apocalyptic number.

260100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

260100 is the 510-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260100

260100 is an abundant number, since it is smaller than the sum of its proper divisors (605947).

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

260100 is a wasteful number, since it uses less digits than its factorization.

260100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The cubic root of 260100 is about 63.8332246376.

Adding to 260100 its reverse (1062), we get a palindrome (261162).

The spelling of 260100 in words is "two hundred sixty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 25 30 34 36 45 50 51 60 68 75 85 90 100 102 150 153 170 180 204 225 255 289 300 306 340 425 450 510 578 612 765 850 867 900 1020 1156 1275 1445 1530 1700 1734 2550 2601 2890 3060 3468 3825 4335 5100 5202 5780 7225 7650 8670 10404 13005 14450 15300 17340 21675 26010 28900 43350 52020 65025 86700 130050 260100