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2067984 = 24334787
BaseRepresentation
bin111111000111000010000
310220001202000
413320320100
51012133414
6112154000
723402052
oct7707020
93801660
102067984
111192786
12838900
13575379
143bb8d2
152acb09
hex1f8e10

2067984 has 40 divisors (see below), whose sum is σ = 5937120. Its totient is φ = 689184.

The previous prime is 2067977. The next prime is 2067997. The reversal of 2067984 is 4897602.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1962 + ... + 2825.

It is an arithmetic number, because the mean of its divisors is an integer number (148428).

22067984 is an apocalyptic number.

2067984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2067984 is an abundant number, since it is smaller than the sum of its proper divisors (3869136).

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

2067984 is a wasteful number, since it uses less digits than its factorization.

2067984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4804 (or 4792 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2067984 is about 1438.0486778965. The cubic root of 2067984 is about 127.4038028713.

The spelling of 2067984 in words is "two million, sixty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 4787 9574 14361 19148 28722 38296 43083 57444 76592 86166 114888 129249 172332 229776 258498 344664 516996 689328 1033992 2067984