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2076384 = 25343503
BaseRepresentation
bin111111010111011100000
310220111021010
413322323200
51012421014
6112300520
723435412
oct7727340
93814233
102076384
111199022
12841740
1357913b
143c09b2
152b0359
hex1faee0

2076384 has 48 divisors (see below), whose sum is σ = 5588352. Its totient is φ = 674688.

The previous prime is 2076383. The next prime is 2076391. The reversal of 2076384 is 4836702.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×20763842 = 8622741030912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2076383) 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 7 ways as a sum of consecutive naturals, for example, 3877 + ... + 4379.

It is an arithmetic number, because the mean of its divisors is an integer number (116424).

22076384 is an apocalyptic number.

2076384 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 2076384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2794176).

2076384 is an abundant number, since it is smaller than the sum of its proper divisors (3511968).

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

2076384 is a wasteful number, since it uses less digits than its factorization.

2076384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 2076384 is about 1440.9663424244. The cubic root of 2076384 is about 127.5760714819.

The spelling of 2076384 in words is "two million, seventy-six thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 503 516 688 1006 1032 1376 1509 2012 2064 3018 4024 4128 6036 8048 12072 16096 21629 24144 43258 48288 64887 86516 129774 173032 259548 346064 519096 692128 1038192 2076384