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267930 = 232513229
BaseRepresentation
bin1000001011010011010
3111121112100
41001122122
532033210
65424230
72164065
oct1013232
9447470
10267930
11173333
1210b076
1394c50
146d8dc
15545c0
hex4169a

267930 has 48 divisors (see below), whose sum is σ = 753480. Its totient is φ = 65664.

The previous prime is 267929. The next prime is 267941. The reversal of 267930 is 39762.

It can be written as a sum of positive squares in 4 ways, for example, as 227529 + 40401 = 477^2 + 201^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 267894 and 267903.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1056 + ... + 1284.

2267930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 267930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376740).

267930 is an abundant number, since it is smaller than the sum of its proper divisors (485550).

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

267930 is a wasteful number, since it uses less digits than its factorization.

267930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 267930 is about 517.6195514082. The cubic root of 267930 is about 64.4674434580.

The spelling of 267930 in words is "two hundred sixty-seven thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 229 234 390 458 585 687 1145 1170 1374 2061 2290 2977 3435 4122 5954 6870 8931 10305 14885 17862 20610 26793 29770 44655 53586 89310 133965 267930