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263380 = 225131013
BaseRepresentation
bin1000000010011010100
3111101021211
41000103110
531412010
65351204
72144605
oct1002324
9441254
10263380
1116a977
12108504
1392b60
146bdac
155308a
hex404d4

263380 has 24 divisors (see below), whose sum is σ = 596232. Its totient is φ = 97152.

The previous prime is 263369. The next prime is 263383. The reversal of 263380 is 83362.

It can be written as a sum of positive squares in 4 ways, for example, as 15376 + 248004 = 124^2 + 498^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263383) by changing a digit.

263380 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 7 ways as a sum of consecutive naturals, for example, 247 + ... + 766.

It is an arithmetic number, because the mean of its divisors is an integer number (24843).

2263380 is an apocalyptic number.

263380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

263380 is an abundant number, since it is smaller than the sum of its proper divisors (332852).

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

263380 is a wasteful number, since it uses less digits than its factorization.

263380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 263380 is about 513.2056118166. The cubic root of 263380 is about 64.1004282639.

The spelling of 263380 in words is "two hundred sixty-three thousand, three hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 1013 2026 4052 5065 10130 13169 20260 26338 52676 65845 131690 263380