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1123064256 = 263371491061
BaseRepresentation
bin100001011110000…
…1001100111000000
32220021020120112110
41002330021213000
54300001024011
6303235055320
736554613546
oct10274114700
92807216473
101123064256
11526a38886
12274141540
1314b897a82
14a9223d96
15688deba6
hex42f099c0

1123064256 has 112 divisors (see below), whose sum is σ = 3075127200. Its totient is φ = 361451520.

The previous prime is 1123064227. The next prime is 1123064279. The reversal of 1123064256 is 6524603211.

It is a super-4 number, since 4×11230642564 (a number of 37 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1057966 + ... + 1059026.

Almost surely, 21123064256 is an apocalyptic number.

1123064256 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 1123064256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537563600).

1123064256 is an abundant number, since it is smaller than the sum of its proper divisors (1952062944).

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

1123064256 is a wasteful number, since it uses less digits than its factorization.

1123064256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1262 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 1123064256 is about 33512.1508709901. The cubic root of 1123064256 is about 1039.4450490948.

Adding to 1123064256 its reverse (6524603211), we get a palindrome (7647667467).

The spelling of 1123064256 in words is "one billion, one hundred twenty-three million, sixty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 148 149 192 222 296 298 444 447 592 596 888 894 1061 1184 1192 1776 1788 2122 2368 2384 3183 3552 3576 4244 4768 5513 6366 7104 7152 8488 9536 11026 12732 14304 16539 16976 22052 25464 28608 33078 33952 39257 44104 50928 66156 67904 78514 88208 101856 117771 132312 157028 158089 176416 203712 235542 264624 314056 316178 352832 471084 474267 529248 628112 632356 942168 948534 1058496 1256224 1264712 1884336 1897068 2512448 2529424 3768672 3794136 5058848 5849293 7537344 7588272 10117696 11698586 15176544 17547879 23397172 30353088 35095758 46794344 70191516 93588688 140383032 187177376 280766064 374354752 561532128 1123064256