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1054364112 = 243219735279
BaseRepresentation
bin111110110110000…
…101000111010000
32201110222020122200
4332312011013100
54124404122422
6252342403200
735061642564
oct7666050720
92643866580
101054364112
114a11853aa
12255130500
1313a592ab9
14a005d6a4
156286e2ac
hex3ed851d0

1054364112 has 120 divisors (see below), whose sum is σ = 3149203200. Its totient is φ = 328333824.

The previous prime is 1054364063. The next prime is 1054364119. The reversal of 1054364112 is 2114634501.

It is a happy number.

1054364112 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 3 + 641 + 12 = 666.

1054364112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10543641122 = 2223367361347097088, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1054364119) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197089 + ... + 202367.

It is an arithmetic number, because the mean of its divisors is an integer number (26243360).

Almost surely, 21054364112 is an apocalyptic number.

1054364112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1054364112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574601600).

1054364112 is an abundant number, since it is smaller than the sum of its proper divisors (2094839088).

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

1054364112 is a wasteful number, since it uses less digits than its factorization.

1054364112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5385 (or 5376 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1054364112 is about 32470.9733762325. The cubic root of 1054364112 is about 1017.8025588373.

Adding to 1054364112 its reverse (2114634501), we get a palindrome (3168998613).

The spelling of 1054364112 in words is "one billion, fifty-four million, three hundred sixty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 73 76 114 144 146 152 171 219 228 292 304 342 438 456 584 657 684 876 912 1168 1314 1368 1387 1752 2628 2736 2774 3504 4161 5256 5279 5548 8322 10512 10558 11096 12483 15837 16644 21116 22192 24966 31674 33288 42232 47511 49932 63348 66576 84464 95022 99864 100301 126696 190044 199728 200602 253392 300903 380088 385367 401204 601806 760176 770734 802408 902709 1156101 1203612 1541468 1604816 1805418 2312202 2407224 3082936 3468303 3610836 4624404 4814448 6165872 6936606 7221672 7321973 9248808 13873212 14443344 14643946 18497616 21965919 27746424 29287892 43931838 55492848 58575784 65897757 87863676 117151568 131795514 175727352 263591028 351454704 527182056 1054364112