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2024040 = 2335101167
BaseRepresentation
bin111101110001001101000
310210211110110
413232021220
51004232130
6111214320
723126664
oct7561150
93724413
102024040
111162767
128173a0
1355b375
143a98a4
1529eab0
hex1ee268

2024040 has 64 divisors (see below), whose sum is σ = 6168960. Its totient is φ = 531200.

The previous prime is 2023993. The next prime is 2024063. The reversal of 2024040 is 404202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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 15 ways as a sum of consecutive naturals, for example, 12037 + ... + 12203.

It is an arithmetic number, because the mean of its divisors is an integer number (96390).

22024040 is an apocalyptic number.

2024040 is a gapful number since it is divisible by the number (20) 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 2024040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3084480).

2024040 is an abundant number, since it is smaller than the sum of its proper divisors (4144920).

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

2024040 is a wasteful number, since it uses less digits than its factorization.

2024040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 2024040 is about 1422.6875974718. The cubic root of 2024040 is about 126.4949041571.

Adding to 2024040 its reverse (404202), we get a palindrome (2428242).

The spelling of 2024040 in words is "two million, twenty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 101 120 167 202 303 334 404 501 505 606 668 808 835 1002 1010 1212 1336 1515 1670 2004 2020 2424 2505 3030 3340 4008 4040 5010 6060 6680 10020 12120 16867 20040 33734 50601 67468 84335 101202 134936 168670 202404 253005 337340 404808 506010 674680 1012020 2024040