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2054232 = 2332103277
BaseRepresentation
bin111110101100001011000
310212100212200
413311201120
51011213412
6112010200
723314005
oct7654130
93770780
102054232
111183414
12830960
1356c02b
143b68ac
152a89dc
hex1f5858

2054232 has 48 divisors (see below), whose sum is σ = 5637840. Its totient is φ = 675648.

The previous prime is 2054231. The next prime is 2054233. The reversal of 2054232 is 2324502.

It is an interprime number because it is at equal distance from previous prime (2054231) and next prime (2054233).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 29 + 0 + 59 + 48 + 211 + 35 + 215 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2054231) 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 11 ways as a sum of consecutive naturals, for example, 7278 + ... + 7554.

It is an arithmetic number, because the mean of its divisors is an integer number (117455).

22054232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2054232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2818920).

2054232 is an abundant number, since it is smaller than the sum of its proper divisors (3583608).

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

2054232 is a wasteful number, since it uses less digits than its factorization.

2054232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 2054232 is about 1433.2592228903. The cubic root of 2054232 is about 127.1207647032.

Adding to 2054232 its reverse (2324502), we get a palindrome (4378734).

The spelling of 2054232 in words is "two million, fifty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 103 206 277 309 412 554 618 824 831 927 1108 1236 1662 1854 2216 2472 2493 3324 3708 4986 6648 7416 9972 19944 28531 57062 85593 114124 171186 228248 256779 342372 513558 684744 1027116 2054232