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1120524096 = 263411371039
BaseRepresentation
bin100001011001001…
…1101011101000000
32220002110112002110
41002302131131000
54243323232341
6303104415320
736524204046
oct10262353500
92802415073
101120524096
1152556337a
12273317540
1314b1b8813
14a8b62396
156858c216
hex42c9d740

1120524096 has 112 divisors (see below), whose sum is σ = 3062142720. Its totient is φ = 361390080.

The previous prime is 1120524091. The next prime is 1120524101. The reversal of 1120524096 is 6904250211.

It is an interprime number because it is at equal distance from previous prime (1120524091) and next prime (1120524101).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120524091) by changing a digit.

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, 1077945 + ... + 1078983.

It is an arithmetic number, because the mean of its divisors is an integer number (27340560).

Almost surely, 21120524096 is an apocalyptic number.

1120524096 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 1120524096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1531071360).

1120524096 is an abundant number, since it is smaller than the sum of its proper divisors (1941618624).

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

1120524096 is a wasteful number, since it uses less digits than its factorization.

1120524096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 1222 counting only the distinct ones).

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

The square root of 1120524096 is about 33474.2303272234. The cubic root of 1120524096 is about 1038.6607811451.

The spelling of 1120524096 in words is "one billion, one hundred twenty million, five hundred twenty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 137 164 192 246 274 328 411 492 548 656 822 984 1039 1096 1312 1644 1968 2078 2192 2624 3117 3288 3936 4156 4384 5617 6234 6576 7872 8312 8768 11234 12468 13152 16624 16851 22468 24936 26304 33248 33702 42599 44936 49872 66496 67404 85198 89872 99744 127797 134808 142343 170396 179744 199488 255594 269616 284686 340792 359488 427029 511188 539232 569372 681584 854058 1022376 1078464 1138744 1363168 1708116 2044752 2277488 2726336 3416232 4089504 4554976 5836063 6832464 8179008 9109952 11672126 13664928 17508189 23344252 27329856 35016378 46688504 70032756 93377008 140065512 186754016 280131024 373508032 560262048 1120524096