Search a number
-
+
2030412024 = 2332113479521
BaseRepresentation
bin111100100000101…
…1010000011111000
312020111120121200100
41321001122003320
513124241141044
6533250435400
7101213134404
oct17101320370
95214517610
102030412024
11952129673
12487b92b60
13264864a44
14153934104
15bd3bd869
hex7905a0f8

2030412024 has 96 divisors (see below), whose sum is σ = 5569948800. Its totient is φ = 668129280.

The previous prime is 2030412011. The next prime is 2030412047. The reversal of 2030412024 is 4202140302.

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

It is a junction number, because it is equal to n+sod(n) for n = 2030411988 and 2030412006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3896884 + ... + 3897404.

It is an arithmetic number, because the mean of its divisors is an integer number (58020300).

Almost surely, 22030412024 is an apocalyptic number.

2030412024 is a gapful number since it is divisible by the number (24) 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 2030412024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2784974400).

2030412024 is an abundant number, since it is smaller than the sum of its proper divisors (3539536776).

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

2030412024 is a wasteful number, since it uses less digits than its factorization.

2030412024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2030412024 is about 45060.0934752692. The cubic root of 2030412024 is about 1266.2750763052.

Adding to 2030412024 its reverse (4202140302), we get a palindrome (6232552326).

The spelling of 2030412024 in words is "two billion, thirty million, four hundred twelve thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 113 226 339 452 479 521 678 904 958 1017 1042 1356 1437 1563 1916 2034 2084 2712 2874 3126 3832 4068 4168 4311 4689 5748 6252 8136 8622 9378 11496 12504 17244 18756 34488 37512 54127 58873 108254 117746 162381 176619 216508 235492 249559 324762 353238 433016 470984 487143 499118 529857 649524 706476 748677 974286 998236 1059714 1299048 1412952 1497354 1948572 1996472 2119428 2246031 2994708 3897144 4238856 4492062 5989416 8984124 17968248 28200167 56400334 84600501 112800668 169201002 225601336 253801503 338402004 507603006 676804008 1015206012 2030412024