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2087064 = 2332741101
BaseRepresentation
bin111111101100010011000
310221000220200
413331202120
51013241224
6112422200
723511510
oct7754230
93830820
102087064
1111a6051
12847960
13580c65
143c4840
152b35c9
hex1fd898

2087064 has 96 divisors (see below), whose sum is σ = 6683040. Its totient is φ = 576000.

The previous prime is 2087051. The next prime is 2087069. The reversal of 2087064 is 4607802.

It is a super-2 number, since 2×20870642 = 8711672280192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2087069) 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, 20614 + ... + 20714.

It is an arithmetic number, because the mean of its divisors is an integer number (69615).

22087064 is an apocalyptic number.

2087064 is a gapful number since it is divisible by the number (24) 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 2087064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3341520).

2087064 is an abundant number, since it is smaller than the sum of its proper divisors (4595976).

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

2087064 is a wasteful number, since it uses less digits than its factorization.

2087064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2087064 is about 1444.6674357789. The cubic root of 2087064 is about 127.7944291399.

The spelling of 2087064 in words is "two million, eighty-seven thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 41 42 56 63 72 82 84 101 123 126 164 168 202 246 252 287 303 328 369 404 492 504 574 606 707 738 808 861 909 984 1148 1212 1414 1476 1722 1818 2121 2296 2424 2583 2828 2952 3444 3636 4141 4242 5166 5656 6363 6888 7272 8282 8484 10332 12423 12726 16564 16968 20664 24846 25452 28987 33128 37269 49692 50904 57974 74538 86961 99384 115948 149076 173922 231896 260883 298152 347844 521766 695688 1043532 2087064