Search a number
-
+
20434323120 = 243585143013
BaseRepresentation
bin10011000001111110…
…110000011010110000
31221202002210011120020
4103001332300122300
5313322141314440
613215402243440
71322244611031
oct230176603260
957662704506
1020434323120
118736708452
123b634b6580
131c08675b73
14dbbc62a88
157e8e5e3d0
hex4c1fb06b0

20434323120 has 40 divisors (see below), whose sum is σ = 63346402416. Its totient is φ = 5449152768.

The previous prime is 20434323101. The next prime is 20434323121. The reversal of 20434323120 is 2132343402.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×204343231202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (20434323121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42571267 + ... + 42571746.

Almost surely, 220434323120 is an apocalyptic number.

20434323120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20434323120 is an abundant number, since it is smaller than the sum of its proper divisors (42912079296).

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

20434323120 is a wasteful number, since it uses less digits than its factorization.

20434323120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85143029 (or 85143023 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 20434323120 its reverse (2132343402), we get a palindrome (22566666522).

The spelling of 20434323120 in words is "twenty billion, four hundred thirty-four million, three hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 85143013 170286026 255429039 340572052 425715065 510858078 681144104 851430130 1021716156 1277145195 1362288208 1702860260 2043432312 2554290390 3405720520 4086864624 5108580780 6811441040 10217161560 20434323120