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1424212120 = 235173277743
BaseRepresentation
bin101010011100011…
…1100000010011000
310200020220110202001
41110320330002120
510404044241440
6353153450344
750202413632
oct12470740230
93606813661
101424212120
11670a26711
12338b709b4
131990a8186
14d7215a52
1585078b9a
hex54e3c098

1424212120 has 64 divisors (see below), whose sum is σ = 3238989120. Its totient is φ = 563587584.

The previous prime is 1424212067. The next prime is 1424212193. The reversal of 1424212120 is 212124241.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1916469 + ... + 1917211.

It is an arithmetic number, because the mean of its divisors is an integer number (50609205).

Almost surely, 21424212120 is an apocalyptic number.

1424212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1424212120 is an abundant number, since it is smaller than the sum of its proper divisors (1814777000).

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

1424212120 is a wasteful number, since it uses less digits than its factorization.

1424212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1204 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 1424212120 is about 37738.7350079464. The cubic root of 1424212120 is about 1125.1011253952.

Adding to 1424212120 its reverse (212124241), we get a palindrome (1636336361).

It can be divided in two parts, 14242 and 12120, that added together give a palindrome (26362).

The spelling of 1424212120 in words is "one billion, four hundred twenty-four million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 173 277 346 554 692 743 865 1108 1384 1385 1486 1730 2216 2770 2972 3460 3715 5540 5944 6920 7430 11080 14860 29720 47921 95842 128539 191684 205811 239605 257078 383368 411622 479210 514156 642695 823244 958420 1028312 1029055 1285390 1646488 1916840 2058110 2570780 4116220 5141560 8232440 35605303 71210606 142421212 178026515 284842424 356053030 712106060 1424212120