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2087140 = 2251153179
BaseRepresentation
bin111111101100011100100
310221001000111
413331203210
51013242030
6112422404
723511646
oct7754344
93831014
102087140
1111a6110
12847a04
13580cc3
143c4896
152b362a
hex1fd8e4

2087140 has 48 divisors (see below), whose sum is σ = 4898880. Its totient is φ = 740480.

The previous prime is 2087123. The next prime is 2087147. The reversal of 2087140 is 417802.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (2087147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11571 + ... + 11749.

It is an arithmetic number, because the mean of its divisors is an integer number (102060).

22087140 is an apocalyptic number.

2087140 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 2087140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2449440).

2087140 is an abundant number, since it is smaller than the sum of its proper divisors (2811740).

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

2087140 is a wasteful number, since it uses less digits than its factorization.

2087140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 2087140 is about 1444.6937391710. The cubic root of 2087140 is about 127.7959803236.

The spelling of 2087140 in words is "two million, eighty-seven thousand, one hundred forty".