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2121400 = 235210607
BaseRepresentation
bin1000000101111010111000
310222210000101
420011322320
51020341100
6113245144
724013561
oct10057270
93883011
102121400
111219926
128637b4
13593788
143d3168
152bd86a
hex205eb8

2121400 has 24 divisors (see below), whose sum is σ = 4932720. Its totient is φ = 848480.

The previous prime is 2121389. The next prime is 2121403. The reversal of 2121400 is 41212.

Adding to 2121400 its reverse (41212), we get a palindrome (2162612).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121403) 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, 5104 + ... + 5503.

It is an arithmetic number, because the mean of its divisors is an integer number (205530).

22121400 is an apocalyptic number.

2121400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121400 is an abundant number, since it is smaller than the sum of its proper divisors (2811320).

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

2121400 is a wasteful number, since it uses less digits than its factorization.

2121400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10623 (or 10614 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2121400 is about 1456.5026604850. The cubic root of 2121400 is about 128.4914376042.

The spelling of 2121400 in words is "two million, one hundred twenty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 10607 21214 42428 53035 84856 106070 212140 265175 424280 530350 1060700 2121400