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2730100 = 2252231187
BaseRepresentation
bin1010011010100001110100
312010200222211
422122201310
51144330400
6134303204
732130322
oct12324164
95120884
102730100
1115a518a
12ab7b04
13747859
14510d12
1538ddba
hex29a874

2730100 has 36 divisors (see below), whose sum is σ = 6187104. Its totient is φ = 1043680.

The previous prime is 2730071. The next prime is 2730109. The reversal of 2730100 is 10372.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2730109) 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, 1707 + ... + 2893.

It is an arithmetic number, because the mean of its divisors is an integer number (171864).

22730100 is an apocalyptic number.

2730100 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 2730100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3093552).

2730100 is an abundant number, since it is smaller than the sum of its proper divisors (3457004).

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

2730100 is a wasteful number, since it uses less digits than its factorization.

2730100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1224 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 13.

The square root of 2730100 is about 1652.3014252854. The cubic root of 2730100 is about 139.7632051551.

Adding to 2730100 its reverse (10372), we get a palindrome (2740472).

The spelling of 2730100 in words is "two million, seven hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 1150 1187 2300 2374 4748 5935 11870 23740 27301 29675 54602 59350 109204 118700 136505 273010 546020 682525 1365050 2730100