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270100 = 22523773
BaseRepresentation
bin1000001111100010100
3111201111201
41001330110
532120400
65442244
72203315
oct1017424
9451451
10270100
11174a26
12110384
1395c2c
147060c
155506a
hex41f14

270100 has 36 divisors (see below), whose sum is σ = 610204. Its totient is φ = 103680.

The previous prime is 270097. The next prime is 270121. The reversal of 270100 is 1072.

270100 is nontrivially palindromic in base 16.

It can be written as a sum of positive squares in 6 ways, for example, as 3844 + 266256 = 62^2 + 516^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3664 + ... + 3736.

2270100 is an apocalyptic number.

270100 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 270100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305102).

270100 is an abundant number, since it is smaller than the sum of its proper divisors (340104).

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

270100 is a wasteful number, since it uses less digits than its factorization.

270100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 10.

The square root of 270100 is about 519.7114584075. The cubic root of 270100 is about 64.6410191038.

Adding to 270100 its reverse (1072), we get a palindrome (271172).

The spelling of 270100 in words is "two hundred seventy thousand, one hundred", and thus it is an iban number.

Divisors: 1 2 4 5 10 20 25 37 50 73 74 100 146 148 185 292 365 370 730 740 925 1460 1825 1850 2701 3650 3700 5402 7300 10804 13505 27010 54020 67525 135050 270100