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2685984 = 25372571
BaseRepresentation
bin1010001111110000100000
312001110110220
422033300200
51141422414
6133323040
731554600
oct12176040
95043426
102685984
111575024
12a96480
13730752
144dcc00
15380ca9
hex28fc20

2685984 has 72 divisors (see below), whose sum is σ = 8216208. Its totient is φ = 766080.

The previous prime is 2685971. The next prime is 2685989. The reversal of 2685984 is 4895862.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2685989) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4419 + ... + 4989.

It is an arithmetic number, because the mean of its divisors is an integer number (114114).

22685984 is an apocalyptic number.

2685984 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 2685984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4108104).

2685984 is an abundant number, since it is smaller than the sum of its proper divisors (5530224).

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

2685984 is a wasteful number, since it uses less digits than its factorization.

2685984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 583 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The square root of 2685984 is about 1638.8971901861. The cubic root of 2685984 is about 139.0062968353.

The spelling of 2685984 in words is "two million, six hundred eighty-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 571 588 672 784 1142 1176 1568 1713 2284 2352 3426 3997 4568 4704 6852 7994 9136 11991 13704 15988 18272 23982 27408 27979 31976 47964 54816 55958 63952 83937 95928 111916 127904 167874 191856 223832 335748 383712 447664 671496 895328 1342992 2685984