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2120200 = 235210601
BaseRepresentation
bin1000000101101000001000
310222201100221
420011220020
51020321300
6113235424
724010225
oct10055010
93881327
102120200
111218a35
12862b74
13593074
143d294c
152bd31a
hex205a08

2120200 has 24 divisors (see below), whose sum is σ = 4929930. Its totient is φ = 848000.

The previous prime is 2120171. The next prime is 2120203. The reversal of 2120200 is 20212.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1887876 + 232324 = 1374^2 + 482^2 .

It is not an unprimeable number, because it can be changed into a prime (2120203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5101 + ... + 5500.

22120200 is an apocalyptic number.

2120200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120200 is an abundant number, since it is smaller than the sum of its proper divisors (2809730).

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

2120200 is a wasteful number, since it uses less digits than its factorization.

2120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10617 (or 10608 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 2120200 is about 1456.0906565183. The cubic root of 2120200 is about 128.4672053664.

Adding to 2120200 its reverse (20212), we get a palindrome (2140412).

The spelling of 2120200 in words is "two million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 10601 21202 42404 53005 84808 106010 212020 265025 424040 530050 1060100 2120200