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270036 = 223213577
BaseRepresentation
bin1000001111011010100
3111201102100
41001323110
532120121
65442100
72203164
oct1017324
9451370
10270036
11174978
12110330
1395bb0
14705a4
1555026
hex41ed4

270036 has 36 divisors (see below), whose sum is σ = 736372. Its totient is φ = 82944.

The previous prime is 270031. The next prime is 270037. The reversal of 270036 is 630072.

It can be written as a sum of positive squares in 2 ways, for example, as 176400 + 93636 = 420^2 + 306^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 180 + ... + 756.

2270036 is an apocalyptic number.

270036 is a gapful number since it is divisible by the number (26) 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 270036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368186).

270036 is an abundant number, since it is smaller than the sum of its proper divisors (466336).

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

270036 is a wasteful number, since it uses less digits than its factorization.

270036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 270036 is about 519.6498821322. The cubic root of 270036 is about 64.6359131529.

The spelling of 270036 in words is "two hundred seventy thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 577 1154 1731 2308 3462 5193 6924 7501 10386 15002 20772 22503 30004 45006 67509 90012 135018 270036