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20030024 = 2372371381
BaseRepresentation
bin100110001101…
…0001001001000
31101200122000202
41030122021020
520111430044
61553151332
7332152400
oct114321110
941618022
1020030024
1110340943
12685b548
1341c3cb1
142935800
151b59c4e
hex131a248

20030024 has 48 divisors (see below), whose sum is σ = 44901180. Its totient is φ = 8346240.

The previous prime is 20030011. The next prime is 20030027. The reversal of 20030024 is 42003002.

It can be written as a sum of positive squares in 2 ways, for example, as 19201924 + 828100 = 4382^2 + 910^2 .

It is a super-2 number, since 2×200300242 = 802403722881152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20029987 and 20030014.

It is not an unprimeable number, because it can be changed into a prime (20030027) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13814 + ... + 15194.

Almost surely, 220030024 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 20030024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22450590).

20030024 is an abundant number, since it is smaller than the sum of its proper divisors (24871156).

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

20030024 is a wasteful number, since it uses less digits than its factorization.

20030024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 20030024 is about 4475.4914813906. The cubic root of 20030024 is about 271.5775232046.

Adding to 20030024 its reverse (42003002), we get a palindrome (62033026).

The spelling of 20030024 in words is "twenty million, thirty thousand, twenty-four".

Divisors: 1 2 4 7 8 14 28 37 49 56 74 98 148 196 259 296 392 518 1036 1381 1813 2072 2762 3626 5524 7252 9667 11048 14504 19334 38668 51097 67669 77336 102194 135338 204388 270676 357679 408776 541352 715358 1430716 2503753 2861432 5007506 10015012 20030024