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266420 = 225711173
BaseRepresentation
bin1000001000010110100
3111112110102
41001002310
532011140
65413232
72156510
oct1010264
9445412
10266420
11172190
1210a218
139435b
146d140
1553e15
hex410b4

266420 has 48 divisors (see below), whose sum is σ = 701568. Its totient is φ = 82560.

The previous prime is 266417. The next prime is 266447. The reversal of 266420 is 24662.

266420 = T295 + T296 + ... + T300.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 266392 and 266401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1454 + ... + 1626.

It is an arithmetic number, because the mean of its divisors is an integer number (14616).

2266420 is an apocalyptic number.

266420 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 266420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350784).

266420 is an abundant number, since it is smaller than the sum of its proper divisors (435148).

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

266420 is a wasteful number, since it uses less digits than its factorization.

266420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 266420 is about 516.1588902654. The cubic root of 266420 is about 64.3461066806.

It can be divided in two parts, 266 and 420, that added together give a palindrome (686).

The spelling of 266420 in words is "two hundred sixty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 173 220 308 346 385 692 770 865 1211 1540 1730 1903 2422 3460 3806 4844 6055 7612 9515 12110 13321 19030 24220 26642 38060 53284 66605 133210 266420