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2087136 = 25327247
BaseRepresentation
bin111111101100011100000
310221001000100
413331203200
51013242021
6112422400
723511642
oct7754340
93831010
102087136
1111a6107
12847a00
13580cbc
143c4892
152b3626
hex1fd8e0

2087136 has 36 divisors (see below), whose sum is σ = 5936112. Its totient is φ = 695616.

The previous prime is 2087123. The next prime is 2087147. The reversal of 2087136 is 6317802.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×20871362 = 8712273364992, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3336 + ... + 3911.

It is an arithmetic number, because the mean of its divisors is an integer number (164892).

22087136 is an apocalyptic number.

It is an amenable number.

2087136 is an abundant number, since it is smaller than the sum of its proper divisors (3848976).

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

2087136 is a wasteful number, since it uses less digits than its factorization.

2087136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7263 (or 7252 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2087136 is about 1444.6923547939. The cubic root of 2087136 is about 127.7958986833.

The spelling of 2087136 in words is "two million, eighty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 7247 14494 21741 28988 43482 57976 65223 86964 115952 130446 173928 231904 260892 347856 521784 695712 1043568 2087136