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2120459424 = 25323960353
BaseRepresentation
bin111111001100011…
…1010010010100000
312110210000111111020
41332120322102200
513320314200144
6550224445440
7103355415306
oct17630722240
95423014436
102120459424
11998a42606
124b2179880
1327a402425
14161894276
15c6259419
hex7e63a4a0

2120459424 has 48 divisors (see below), whose sum is σ = 5808220992. Its totient is φ = 676087808.

The previous prime is 2120459417. The next prime is 2120459441. The reversal of 2120459424 is 4249540212.

It is a happy number.

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

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, 477969 + ... + 482384.

It is an arithmetic number, because the mean of its divisors is an integer number (121004604).

Almost surely, 22120459424 is an apocalyptic number.

2120459424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2120459424 is an abundant number, since it is smaller than the sum of its proper divisors (3687761568).

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

2120459424 is a wasteful number, since it uses less digits than its factorization.

2120459424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960389 (or 960381 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 2120459424 is about 46048.4464884539. The cubic root of 2120459424 is about 1284.7244482764.

Adding to 2120459424 its reverse (4249540212), we get a palindrome (6369999636).

The spelling of 2120459424 in words is "two billion, one hundred twenty million, four hundred fifty-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 960353 1920706 2881059 3841412 5762118 7682824 11524236 15365648 22088119 23048472 30731296 44176238 46096944 66264357 88352476 92193888 132528714 176704952 265057428 353409904 530114856 706819808 1060229712 2120459424