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1026073056 = 253234431049
BaseRepresentation
bin111101001010001…
…010000111100000
32122111201220121210
4331022022013200
54100133314211
6245452150120
734266322431
oct7512120740
92574656553
101026073056
11487211968
12247768340
13134768928
149a3b7488
15601319a6
hex3d28a1e0

1026073056 has 96 divisors (see below), whose sum is σ = 2819577600. Its totient is φ = 326104064.

The previous prime is 1026073049. The next prime is 1026073067. The reversal of 1026073056 is 6503706201.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 977620 + ... + 978668.

It is an arithmetic number, because the mean of its divisors is an integer number (29370600).

Almost surely, 21026073056 is an apocalyptic number.

1026073056 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 1026073056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409788800).

1026073056 is an abundant number, since it is smaller than the sum of its proper divisors (1793504544).

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

1026073056 is a wasteful number, since it uses less digits than its factorization.

1026073056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528 (or 1520 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 1026073056 is about 32032.3751226786. The cubic root of 1026073056 is about 1008.6165603093.

Adding to 1026073056 its reverse (6503706201), we get a palindrome (7529779257).

The spelling of 1026073056 in words is "one billion, twenty-six million, seventy-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 443 552 736 886 1049 1104 1329 1772 2098 2208 2658 3147 3544 4196 5316 6294 7088 8392 10189 10632 12588 14176 16784 20378 21264 24127 25176 30567 33568 40756 42528 48254 50352 61134 72381 81512 96508 100704 122268 144762 163024 193016 244536 289524 326048 386032 464707 489072 579048 772064 929414 978144 1158096 1394121 1858828 2316192 2788242 3717656 5576484 7435312 10688261 11152968 14870624 21376522 22305936 32064783 42753044 44611872 64129566 85506088 128259132 171012176 256518264 342024352 513036528 1026073056