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2126900 = 225221269
BaseRepresentation
bin1000000111010000110100
311000001120002
420013100310
51021030100
6113330432
724035606
oct10072064
94001502
102126900
111222a76
12866a18
13596129
143d5176
152c02d5
hex207434

2126900 has 18 divisors (see below), whose sum is σ = 4615590. Its totient is φ = 850720.

The previous prime is 2126899. The next prime is 2126903. The reversal of 2126900 is 96212.

It can be written as a sum of positive squares in 3 ways, for example, as 178084 + 1948816 = 422^2 + 1396^2 .

It is a super-2 number, since 2×21269002 = 9047407220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2126903) 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, 10535 + ... + 10734.

22126900 is an apocalyptic number.

2126900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2126900 is an abundant number, since it is smaller than the sum of its proper divisors (2488690).

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

2126900 is a wasteful number, since it uses less digits than its factorization.

2126900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21283 (or 21276 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 2126900 is about 1458.3895227270. The cubic root of 2126900 is about 128.6023852560.

The spelling of 2126900 in words is "two million, one hundred twenty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 21269 42538 85076 106345 212690 425380 531725 1063450 2126900