Search a number
-
+
113611456 = 267367691
BaseRepresentation
bin1101100010110…
…01001011000000
321220210001121201
412301121023000
5213041031311
615135030544
72546452510
oct661311300
9256701551
10113611456
1159148a72
123206b454
131a6cb11a
1411135840
159e929c1
hex6c592c0

113611456 has 56 divisors (see below), whose sum is σ = 258730496. Its totient is φ = 48487680.

The previous prime is 113611441. The next prime is 113611483. The reversal of 113611456 is 654116311.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 164071 + ... + 164761.

Almost surely, 2113611456 is an apocalyptic number.

113611456 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 113611456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129365248).

113611456 is an abundant number, since it is smaller than the sum of its proper divisors (145119040).

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

113611456 is an equidigital number, since it uses as much as digits as its factorization.

113611456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1067 counting only the distinct ones).

The product of its digits is 2160, while the sum is 28.

The square root of 113611456 is about 10658.8674820546. The cubic root of 113611456 is about 484.3292616458.

Adding to 113611456 its reverse (654116311), we get a palindrome (767727767).

The spelling of 113611456 in words is "one hundred thirteen million, six hundred eleven thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 367 448 691 734 1382 1468 2569 2764 2936 4837 5138 5528 5872 9674 10276 11056 11744 19348 20552 22112 23488 38696 41104 44224 77392 82208 154784 164416 253597 309568 507194 1014388 1775179 2028776 3550358 4057552 7100716 8115104 14201432 16230208 28402864 56805728 113611456