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2120243424 = 253131698913
BaseRepresentation
bin111111001100000…
…0101100011100000
312110202121112012020
41332120011203200
513320240242144
6550220101440
7103353525465
oct17630054340
95422545166
102120243424
119989052a2
124b2094880
1327a358010
1416183966c
15c6215419
hex7e6058e0

2120243424 has 48 divisors (see below), whose sum is σ = 5993768592. Its totient is φ = 652382208.

The previous prime is 2120243407. The next prime is 2120243443. The reversal of 2120243424 is 4243420212.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 2120243394 and 2120243403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 848209 + ... + 850704.

It is an arithmetic number, because the mean of its divisors is an integer number (124870179).

Almost surely, 22120243424 is an apocalyptic number.

2120243424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2120243424 is an abundant number, since it is smaller than the sum of its proper divisors (3873525168).

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

2120243424 is a wasteful number, since it uses less digits than its factorization.

2120243424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1698939 (or 1698931 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2120243424 is about 46046.1010727293. The cubic root of 2120243424 is about 1284.6808240975.

Adding to 2120243424 its reverse (4243420212), we get a palindrome (6363663636).

The spelling of 2120243424 in words is "two billion, one hundred twenty million, two hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 1698913 3397826 5096739 6795652 10193478 13591304 20386956 22085869 27182608 40773912 44171738 54365216 66257607 81547824 88343476 132515214 163095648 176686952 265030428 353373904 530060856 706747808 1060121712 2120243424