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2103400 = 235213809
BaseRepresentation
bin1000000001100001101000
310221212022201
420001201220
51014302100
6113025544
723610235
oct10014150
93855281
102103400
111207352
128552b4
13588520
143ca78c
152b836a
hex201868

2103400 has 48 divisors (see below), whose sum is σ = 5273100. Its totient is φ = 775680.

The previous prime is 2103389. The next prime is 2103403. The reversal of 2103400 is 43012.

It can be written as a sum of positive squares in 6 ways, for example, as 799236 + 1304164 = 894^2 + 1142^2 .

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 (2103403) 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, 2196 + ... + 3004.

22103400 is an apocalyptic number.

2103400 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 2103400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2636550).

2103400 is an abundant number, since it is smaller than the sum of its proper divisors (3169700).

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

2103400 is a wasteful number, since it uses less digits than its factorization.

2103400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 2103400 is about 1450.3103116230. The cubic root of 2103400 is about 128.1269898561.

Adding to 2103400 its reverse (43012), we get a palindrome (2146412).

The spelling of 2103400 in words is "two million, one hundred three thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 809 1300 1618 2600 3236 4045 6472 8090 10517 16180 20225 21034 32360 40450 42068 52585 80900 84136 105170 161800 210340 262925 420680 525850 1051700 2103400