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2120210424 = 23339815789
BaseRepresentation
bin111111001011111…
…1101011111111000
312110202112211221000
41332113331133320
513320233213144
6550215245000
7103353330333
oct17627753770
95422484830
102120210424
11998892522
124b2079760
1327a345ca7
1416182b61a
15c620a769
hex7e5fd7f8

2120210424 has 32 divisors (see below), whose sum is σ = 5889474000. Its totient is φ = 706736736.

The previous prime is 2120210423. The next prime is 2120210447. The reversal of 2120210424 is 4240120212.

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 = 2120210397 and 2120210406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120210423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4907679 + ... + 4908110.

Almost surely, 22120210424 is an apocalyptic number.

2120210424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2120210424 is an abundant number, since it is smaller than the sum of its proper divisors (3769263576).

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

2120210424 is a wasteful number, since it uses less digits than its factorization.

2120210424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9815804 (or 9815794 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2120210424 is about 46045.7427348067. The cubic root of 2120210424 is about 1284.6741590315.

Adding to 2120210424 its reverse (4240120212), we get a palindrome (6360330636).

It can be divided in two parts, 21202 and 10424, that added together give a triangular number (31626 = T251).

The spelling of 2120210424 in words is "two billion, one hundred twenty million, two hundred ten thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 9815789 19631578 29447367 39263156 58894734 78526312 88342101 117789468 176684202 235578936 265026303 353368404 530052606 706736808 1060105212 2120210424