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1054400424 = 233721181509
BaseRepresentation
bin111110110110001…
…101111110101000
32201111001002110120
4332312031332220
54124411303144
6252343243240
735062153500
oct7666157650
92644032416
101054400424
114a11aa710
12255149520
1313a5a649c
14a006ca00
1562879e19
hex3ed8dfa8

1054400424 has 96 divisors (see below), whose sum is σ = 3345170400. Its totient is φ = 273866880.

The previous prime is 1054400423. The next prime is 1054400447. The reversal of 1054400424 is 4240044501.

It is a happy number.

It is a super-2 number, since 2×10544004242 = 2223520508262759552, which contains 22 as substring.

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 = 1054400394 and 1054400403.

It is not an unprimeable number, because it can be changed into a prime (1054400423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27819 + ... + 53690.

It is an arithmetic number, because the mean of its divisors is an integer number (34845525).

Almost surely, 21054400424 is an apocalyptic number.

1054400424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1054400424 is an abundant number, since it is smaller than the sum of its proper divisors (2290769976).

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

1054400424 is a wasteful number, since it uses less digits than its factorization.

1054400424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81543 (or 81532 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 1054400424 is about 32471.5325169601. The cubic root of 1054400424 is about 1017.8142429800.

Adding to 1054400424 its reverse (4240044501), we get a palindrome (5294444925).

The spelling of 1054400424 in words is "one billion, fifty-four million, four hundred thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 49 56 66 77 84 88 98 132 147 154 168 196 231 264 294 308 392 462 539 588 616 924 1078 1176 1617 1848 2156 3234 4312 6468 12936 81509 163018 244527 326036 489054 570563 652072 896599 978108 1141126 1711689 1793198 1956216 2282252 2689797 3423378 3586396 3993941 4564504 5379594 6276193 6846756 7172792 7987882 10759188 11981823 12552386 13693512 15975764 18828579 21518376 23963646 25104772 31951528 37657158 43933351 47927292 50209544 75314316 87866702 95854584 131800053 150628632 175733404 263600106 351466808 527200212 1054400424