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2100240 = 243252917
BaseRepresentation
bin1000000000110000010000
310221200222200
420000300100
51014201430
6113003200
723565102
oct10006020
93850880
102100240
111204a3a
12853500
13586c5c
143c9572
152b7460
hex200c10

2100240 has 60 divisors (see below), whose sum is σ = 7055724. Its totient is φ = 559872.

The previous prime is 2100239. The next prime is 2100247. The reversal of 2100240 is 420012.

Adding to 2100240 its reverse (420012), we get a palindrome (2520252).

It can be written as a sum of positive squares in 2 ways, for example, as 1648656 + 451584 = 1284^2 + 672^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×21002402 = 8822016115200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (2100247) 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, 739 + ... + 2178.

22100240 is an apocalyptic number.

2100240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100240 is an abundant number, since it is smaller than the sum of its proper divisors (4955484).

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

2100240 is a wasteful number, since it uses less digits than its factorization.

2100240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2936 (or 2927 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2100240 is about 1449.2204801203. The cubic root of 2100240 is about 128.0627947097.

The spelling of 2100240 in words is "two million, one hundred thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 2917 5834 8751 11668 14585 17502 23336 26253 29170 35004 43755 46672 52506 58340 70008 87510 105012 116680 131265 140016 175020 210024 233360 262530 350040 420048 525060 700080 1050120 2100240