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1116520256 = 26191019091
BaseRepresentation
bin100001010001100…
…1011111101000000
32212210221002212002
41002203023331000
54241312122011
6302442523132
736445160045
oct10243137500
92783832762
101116520256
11523279215
12271b064a8
1314a416297
14a83dd1cc
156804ac3b
hex428cbf40

1116520256 has 56 divisors (see below), whose sum is σ = 2355555360. Its totient is φ = 523584000.

The previous prime is 1116520253. The next prime is 1116520319. The reversal of 1116520256 is 6520256111.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1116520253) 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 7 ways as a sum of consecutive naturals, for example, 118271 + ... + 127361.

Almost surely, 21116520256 is an apocalyptic number.

1116520256 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 1116520256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1177777680).

1116520256 is an abundant number, since it is smaller than the sum of its proper divisors (1239035104).

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

1116520256 is a wasteful number, since it uses less digits than its factorization.

1116520256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9223 (or 9213 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 29.

The square root of 1116520256 is about 33414.3719976899. The cubic root of 1116520256 is about 1037.4221956654.

Adding to 1116520256 its reverse (6520256111), we get a palindrome (7636776367).

The spelling of 1116520256 in words is "one billion, one hundred sixteen million, five hundred twenty thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 101 152 202 304 404 608 808 1216 1616 1919 3232 3838 6464 7676 9091 15352 18182 30704 36364 61408 72728 122816 145456 172729 290912 345458 581824 690916 918191 1381832 1836382 2763664 3672764 5527328 7345528 11054656 14691056 17445629 29382112 34891258 58764224 69782516 139565032 279130064 558260128 1116520256