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1054301424 = 243113176299
BaseRepresentation
bin111110110101110…
…101110011110000
32201110212001122220
4332311311303300
54124400121144
6252341201040
735061262041
oct7665656360
92643761586
101054301424
114a11422a0
12255100180
1313a5703c7
14a00448c8
156285a919
hex3ed75cf0

1054301424 has 80 divisors (see below), whose sum is σ = 2981059200. Its totient is φ = 318426880.

The previous prime is 1054301411. The next prime is 1054301489. The reversal of 1054301424 is 4241034501.

It is a super-2 number, since 2×10543014242 = 2223102985296855552, 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 = 1054301394 and 1054301403.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 164227 + ... + 170525.

It is an arithmetic number, because the mean of its divisors is an integer number (37263240).

Almost surely, 21054301424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1054301424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490529600).

1054301424 is an abundant number, since it is smaller than the sum of its proper divisors (1926757776).

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

1054301424 is a wasteful number, since it uses less digits than its factorization.

1054301424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6638 (or 6632 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 1054301424 is about 32470.0080689858. The cubic root of 1054301424 is about 1017.7823870356.

Adding to 1054301424 its reverse (4241034501), we get a palindrome (5295335925).

The spelling of 1054301424 in words is "one billion, fifty-four million, three hundred one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 317 528 634 951 1268 1902 2536 3487 3804 5072 6299 6974 7608 10461 12598 13948 15216 18897 20922 25196 27896 37794 41844 50392 55792 69289 75588 83688 100784 138578 151176 167376 207867 277156 302352 415734 554312 831468 1108624 1662936 1996783 3325872 3993566 5990349 7987132 11980698 15974264 21964613 23961396 31948528 43929226 47922792 65893839 87858452 95845584 131787678 175716904 263575356 351433808 527150712 1054301424