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1124001616 = 244761107229
BaseRepresentation
bin100001011111110…
…1110011101010000
32220100000012100111
41002333232131100
54300221022431
6303311131104
736565566433
oct10277563520
92810005314
101124001616
11527519061
12274513a94
1314bb3561a
14a93c981a
1568a277b1
hex42fee750

1124001616 has 80 divisors (see below), whose sum is σ = 2291639040. Its totient is φ = 533629440.

The previous prime is 1124001607. The next prime is 1124001643. The reversal of 1124001616 is 6161004211.

It is a super-2 number, since 2×11240016162 = 2526759265541222912, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4908190 + ... + 4908418.

It is an arithmetic number, because the mean of its divisors is an integer number (28645488).

Almost surely, 21124001616 is an apocalyptic number.

1124001616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1124001616 is an abundant number, since it is smaller than the sum of its proper divisors (1167637424).

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

1124001616 is a wasteful number, since it uses less digits than its factorization.

1124001616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 1124001616 is about 33526.1333290912. The cubic root of 1124001616 is about 1039.7341578902.

Adding to 1124001616 its reverse (6161004211), we get a palindrome (7285005827).

The spelling of 1124001616 in words is "one billion, one hundred twenty-four million, one thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 47 61 94 107 122 188 214 229 244 376 428 458 488 752 856 916 976 1712 1832 2867 3664 5029 5734 6527 10058 10763 11468 13054 13969 20116 21526 22936 24503 26108 27938 40232 43052 45872 49006 52216 55876 80464 86104 98012 104432 111752 172208 196024 223504 306769 392048 613538 656543 1151641 1227076 1313086 1494683 2303282 2454152 2626172 2989366 4606564 4908304 5252344 5978732 9213128 10504688 11957464 18426256 23914928 70250101 140500202 281000404 562000808 1124001616