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2105280 = 263251743
BaseRepresentation
bin1000000001111111000000
310221221220100
420001333000
51014332110
6113042400
723615562
oct10017700
93857810
102105280
111208801
12856400
13589338
143cb332
152b8bc0
hex201fc0

2105280 has 168 divisors, whose sum is σ = 7845552. Its totient is φ = 516096.

The previous prime is 2105273. The next prime is 2105287. The reversal of 2105280 is 825012.

It is an interprime number because it is at equal distance from previous prime (2105273) and next prime (2105287).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2105287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48939 + ... + 48981.

22105280 is an apocalyptic number.

2105280 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 2105280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3922776).

2105280 is an abundant number, since it is smaller than the sum of its proper divisors (5740272).

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

2105280 is a wasteful number, since it uses less digits than its factorization.

2105280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 2105280 is about 1450.9583040184. The cubic root of 2105280 is about 128.1651514059.

The spelling of 2105280 in words is "two million, one hundred five thousand, two hundred eighty".