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1054319124 = 2231710350177
BaseRepresentation
bin111110110101111…
…010001000010100
32201110212221221110
4332311322020110
54124401202444
6252341415020
735061364455
oct7665721024
92643787843
101054319124
114a1154621
1225510a470
1313a578491
14a004b12c
1562860cb9
hex3ed7a214

1054319124 has 48 divisors (see below), whose sum is σ = 2630130048. Its totient is φ = 327548928.

The previous prime is 1054319117. The next prime is 1054319143. The reversal of 1054319124 is 4219134501.

It is a super-2 number, since 2×10543191242 = 2223177630464254752, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1054319091 and 1054319100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4077 + ... + 46100.

It is an arithmetic number, because the mean of its divisors is an integer number (54794376).

Almost surely, 21054319124 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 1054319124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1315065024).

1054319124 is an abundant number, since it is smaller than the sum of its proper divisors (1575810924).

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

1054319124 is a wasteful number, since it uses less digits than its factorization.

1054319124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50304 (or 50302 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 1054319124 is about 32470.2806270596. The cubic root of 1054319124 is about 1017.7880826387.

The spelling of 1054319124 in words is "one billion, fifty-four million, three hundred nineteen thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 103 204 206 309 412 618 1236 1751 3502 5253 7004 10506 21012 50177 100354 150531 200708 301062 602124 853009 1706018 2559027 3412036 5118054 5168231 10236108 10336462 15504693 20672924 31009386 62018772 87859927 175719854 263579781 351439708 527159562 1054319124