Search a number
-
+
2024672 = 251331157
BaseRepresentation
bin111101110010011100000
310210212022212
413232103200
51004242142
6111221252
723131556
oct7562340
93725285
102024672
111163191
12817828
1355b740
143a9bd6
1529ed82
hex1ee4e0

2024672 has 48 divisors (see below), whose sum is σ = 4459392. Its totient is φ = 898560.

The previous prime is 2024647. The next prime is 2024689. The reversal of 2024672 is 2764202.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 12818 + ... + 12974.

It is an arithmetic number, because the mean of its divisors is an integer number (92904).

22024672 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 2024672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2229696).

2024672 is an abundant number, since it is smaller than the sum of its proper divisors (2434720).

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

2024672 is a wasteful number, since it uses less digits than its factorization.

2024672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 2024672 is about 1422.9096949561. The cubic root of 2024672 is about 126.5080686631.

Adding to 2024672 its reverse (2764202), we get a palindrome (4788874).

The spelling of 2024672 in words is "two million, twenty-four thousand, six hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 104 124 157 208 248 314 403 416 496 628 806 992 1256 1612 2041 2512 3224 4082 4867 5024 6448 8164 9734 12896 16328 19468 32656 38936 63271 65312 77872 126542 155744 253084 506168 1012336 2024672