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868260 = 223529499
BaseRepresentation
bin11010011111110100100
31122010000210
43103332210
5210241020
630335420
710244241
oct3237644
91563023
10868260
11543378
1235a570
13245283
141885c8
151223e0
hexd3fa4

868260 has 48 divisors (see below), whose sum is σ = 2520000. Its totient is φ = 223104.

The previous prime is 868249. The next prime is 868267. The reversal of 868260 is 62868.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 868260.

It is not an unprimeable number, because it can be changed into a prime (868267) by changing a digit.

868260 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1491 + ... + 1989.

It is an arithmetic number, because the mean of its divisors is an integer number (52500).

2868260 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 868260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260000).

868260 is an abundant number, since it is smaller than the sum of its proper divisors (1651740).

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

868260 is a wasteful number, since it uses less digits than its factorization.

868260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 868260 is about 931.8047005677. The cubic root of 868260 is about 95.4003419332.

It can be divided in two parts, 868 and 260, that added together give a triangular number (1128 = T47).

The spelling of 868260 in words is "eight hundred sixty-eight thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 499 580 870 998 1497 1740 1996 2495 2994 4990 5988 7485 9980 14471 14970 28942 29940 43413 57884 72355 86826 144710 173652 217065 289420 434130 868260