Search a number
-
+
20242024 = 23112373137
BaseRepresentation
bin100110100110…
…1111001101000
31102002101211121
41031031321220
520140221044
62001505024
7334024435
oct115157150
942071747
1020242024
1110476150
126942174
13426963a
14298cb8c
151b9c984
hex134de68

20242024 has 64 divisors (see below), whose sum is σ = 44115840. Its totient is φ = 8616960.

The previous prime is 20242021. The next prime is 20242031. The reversal of 20242024 is 42024202.

It is a junction number, because it is equal to n+sod(n) for n = 20241989 and 20242007.

It is not an unprimeable number, because it can be changed into a prime (20242021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147684 + ... + 147820.

It is an arithmetic number, because the mean of its divisors is an integer number (689310).

Almost surely, 220242024 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 20242024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22057920).

20242024 is an abundant number, since it is smaller than the sum of its proper divisors (23873816).

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

20242024 is a wasteful number, since it uses less digits than its factorization.

20242024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 20242024 is about 4499.1136904951. The cubic root of 20242024 is about 272.5322981665.

Adding to 20242024 its reverse (42024202), we get a palindrome (62266226).

It can be divided in two parts, 202 and 42024, that multiplied together give a palindrome (8488848).

The spelling of 20242024 in words is "twenty million, two hundred forty-two thousand, twenty-four".

Divisors: 1 2 4 8 11 22 23 44 46 73 88 92 137 146 184 253 274 292 506 548 584 803 1012 1096 1507 1606 1679 2024 3014 3151 3212 3358 6028 6302 6424 6716 10001 12056 12604 13432 18469 20002 25208 34661 36938 40004 69322 73876 80008 110011 138644 147752 220022 230023 277288 440044 460046 880088 920092 1840184 2530253 5060506 10121012 20242024