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1131806256 = 24374677213
BaseRepresentation
bin100001101110101…
…1111111000110000
32220212200201022020
41003131133320300
54304220300011
6304150311440
740022123460
oct10335377060
92825621266
101131806256
11530969879
12277058580
13150638b59
14aa45bba0
156956a006
hex4375fe30

1131806256 has 80 divisors (see below), whose sum is σ = 3349142784. Its totient is φ = 322636032.

The previous prime is 1131806237. The next prime is 1131806257. The reversal of 1131806256 is 6526081311.

It is a super-2 number, since 2×11318062562 = 2561970802241475072, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1131806257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153306 + ... + 160518.

Almost surely, 21131806256 is an apocalyptic number.

1131806256 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 1131806256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674571392).

1131806256 is an abundant number, since it is smaller than the sum of its proper divisors (2217336528).

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

1131806256 is a wasteful number, since it uses less digits than its factorization.

1131806256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7698 (or 7692 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 1131806256 is about 33642.3283379733. The cubic root of 1131806256 is about 1042.1351155894.

Adding to 1131806256 its reverse (6526081311), we get a palindrome (7657887567).

The spelling of 1131806256 in words is "one billion, one hundred thirty-one million, eight hundred six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 467 934 1401 1868 2802 3269 3736 5604 6538 7213 7472 9807 11208 13076 14426 19614 21639 22416 26152 28852 39228 43278 50491 52304 57704 78456 86556 100982 115408 151473 156912 173112 201964 302946 346224 403928 605892 807856 1211784 2423568 3368471 6736942 10105413 13473884 20210826 23579297 26947768 40421652 47158594 53895536 70737891 80843304 94317188 141475782 161686608 188634376 282951564 377268752 565903128 1131806256