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2087120 = 24573727
BaseRepresentation
bin111111101100011010000
310221000222202
413331203100
51013241440
6112422332
723511620
oct7754320
93830882
102087120
1111a60a2
128479a8
13580ca9
143c4880
152b3615
hex1fd8d0

2087120 has 40 divisors (see below), whose sum is σ = 5547264. Its totient is φ = 715392.

The previous prime is 2087081. The next prime is 2087123. The reversal of 2087120 is 217802.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a nialpdrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 2087092 and 2087101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2087123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1304 + ... + 2423.

22087120 is an apocalyptic number.

2087120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2087120 is an abundant number, since it is smaller than the sum of its proper divisors (3460144).

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

2087120 is a wasteful number, since it uses less digits than its factorization.

2087120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3747 (or 3741 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 2087120 is about 1444.6868172722. The cubic root of 2087120 is about 127.7955721210.

It can be divided in two parts, 20 and 87120, that multiplied together give a square (1742400 = 13202).

The spelling of 2087120 in words is "two million, eighty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 3727 7454 14908 18635 26089 29816 37270 52178 59632 74540 104356 130445 149080 208712 260890 298160 417424 521780 1043560 2087120