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271998 = 2342373
BaseRepresentation
bin1000010011001111110
3111211010000
41002121332
532200443
65455130
72211666
oct1023176
9454100
10271998
111763a1
121114a6
1396a5c
14711a6
15558d3
hex4267e

271998 has 40 divisors (see below), whose sum is σ = 644688. Its totient is φ = 85536.

The previous prime is 271981. The next prime is 272003. The reversal of 271998 is 899172.

It is a happy number.

It is a Curzon number.

It is a zygodrome in base 7.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 271998.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3690 + ... + 3762.

2271998 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 271998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322344).

271998 is an abundant number, since it is smaller than the sum of its proper divisors (372690).

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

271998 is a wasteful number, since it uses less digits than its factorization.

271998 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 101 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The square root of 271998 is about 521.5342750002. The cubic root of 271998 is about 64.7920772207.

It can be divided in two parts, 27 and 1998, that added together give a square (2025 = 452).

The spelling of 271998 in words is "two hundred seventy-one thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 73 81 138 146 162 207 219 414 438 621 657 1242 1314 1679 1863 1971 3358 3726 3942 5037 5913 10074 11826 15111 30222 45333 90666 135999 271998