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2121384 = 233157563
BaseRepresentation
bin1000000101111010101000
310222202222210
420011322220
51020341014
6113245120
724013536
oct10057250
93882883
102121384
111219911
128637a0
13593775
143d3156
152bd859
hex205ea8

2121384 has 32 divisors (see below), whose sum is σ = 5346720. Its totient is φ = 701376.

The previous prime is 2121377. The next prime is 2121389. The reversal of 2121384 is 4831212.

2121384 is nontrivially palindromic in base 9.

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 2121384.

It is not an unprimeable number, because it can be changed into a prime (2121389) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3487 + ... + 4049.

It is an arithmetic number, because the mean of its divisors is an integer number (167085).

22121384 is an apocalyptic number.

2121384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2121384 is an abundant number, since it is smaller than the sum of its proper divisors (3225336).

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

2121384 is a wasteful number, since it uses less digits than its factorization.

2121384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 725 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 2121384 is about 1456.4971678654. The cubic root of 2121384 is about 128.4911145678.

Adding to 2121384 its reverse (4831212), we get a palindrome (6952596).

It can be divided in two parts, 212 and 1384, that added together give a triangular number (1596 = T56).

The spelling of 2121384 in words is "two million, one hundred twenty-one thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 24 157 314 471 563 628 942 1126 1256 1689 1884 2252 3378 3768 4504 6756 13512 88391 176782 265173 353564 530346 707128 1060692 2121384