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1246105056 = 25379371979
BaseRepresentation
bin100101001000110…
…0000110111100000
310012211202200210010
41022101200313200
510023000330211
6323352204520
742610501230
oct11221406740
93184680703
101246105056
1158a437199
122a9399740
1316b217a91
14bb6d1cc0
15745e64a6
hex4a460de0

1246105056 has 96 divisors (see below), whose sum is σ = 3744195840. Its totient is φ = 355470336.

The previous prime is 1246105051. The next prime is 1246105057. The reversal of 1246105056 is 6505016421.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1246105051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 628675 + ... + 630653.

It is an arithmetic number, because the mean of its divisors is an integer number (39002040).

Almost surely, 21246105056 is an apocalyptic number.

1246105056 is a gapful number since it is divisible by the number (16) 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 1246105056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1872097920).

1246105056 is an abundant number, since it is smaller than the sum of its proper divisors (2498090784).

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

1246105056 is a wasteful number, since it uses less digits than its factorization.

1246105056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2936 (or 2928 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 1246105056 is about 35300.2132571462. The cubic root of 1246105056 is about 1076.0973272382.

The spelling of 1246105056 in words is "one billion, two hundred forty-six million, one hundred five thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 937 1874 1979 2811 3748 3958 5622 5937 6559 7496 7916 11244 11874 13118 13853 14992 15832 19677 22488 23748 26236 27706 29984 31664 39354 41559 44976 47496 52472 55412 63328 78708 83118 89952 94992 104944 110824 157416 166236 189984 209888 221648 314832 332472 443296 629664 664944 1329888 1854323 3708646 5562969 7417292 11125938 12980261 14834584 22251876 25960522 29669168 38940783 44503752 51921044 59338336 77881566 89007504 103842088 155763132 178015008 207684176 311526264 415368352 623052528 1246105056