Search a number
-
+
2143854 = 23329372
BaseRepresentation
bin1000001011011001101110
311000220211000
420023121232
51022100404
6113541130
724136206
oct10133156
94026730
102143854
111234789
128747a6
135a0a6b
143db406
152c5339
hex20b66e

2143854 has 48 divisors (see below), whose sum is σ = 5065200. Its totient is φ = 671328.

The previous prime is 2143847. The next prime is 2143859. The reversal of 2143854 is 4583412.

2143854 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×21438542 = 9192219946632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between even and odd.

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2143859) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57924 + ... + 57960.

It is an arithmetic number, because the mean of its divisors is an integer number (105525).

22143854 is an apocalyptic number.

2143854 is the 783-rd nonagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2143854, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2532600).

2143854 is an abundant number, since it is smaller than the sum of its proper divisors (2921346).

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

2143854 is a wasteful number, since it uses less digits than its factorization.

2143854 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 71 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 2143854 is about 1464.1905613683. The cubic root of 2143854 is about 128.9431875304.

The spelling of 2143854 in words is "two million, one hundred forty-three thousand, eight hundred fifty-four".

Divisors: 1 2 3 6 9 18 27 29 37 54 58 74 87 111 174 222 261 333 522 666 783 999 1073 1369 1566 1998 2146 2738 3219 4107 6438 8214 9657 12321 19314 24642 28971 36963 39701 57942 73926 79402 119103 238206 357309 714618 1071927 2143854