Search a number
-
+
113514440 = 235131712841
BaseRepresentation
bin1101100010000…
…01011111001000
321220121010112112
412301001133020
5213024430230
615133001452
72545566614
oct661013710
9256533475
10113514440
1159092096
1232023288
131a695c10
141110c344
159e73d95
hex6c417c8

113514440 has 64 divisors (see below), whose sum is σ = 291256560. Its totient is φ = 39444480.

The previous prime is 113514437. The next prime is 113514451. The reversal of 113514440 is 44415311.

It can be written as a sum of positive squares in 8 ways, for example, as 41705764 + 71808676 = 6458^2 + 8474^2 .

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, 2420 + ... + 15260.

Almost surely, 2113514440 is an apocalyptic number.

113514440 is a gapful number since it is divisible by the number (10) 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 113514440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145628280).

113514440 is an abundant number, since it is smaller than the sum of its proper divisors (177742120).

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

113514440 is a wasteful number, since it uses less digits than its factorization.

113514440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12882 (or 12878 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 113514440 is about 10654.3155575569. The cubic root of 113514440 is about 484.1913616184.

Adding to 113514440 its reverse (44415311), we get a palindrome (157929751).

The spelling of 113514440 in words is "one hundred thirteen million, five hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 85 104 130 136 170 221 260 340 442 520 680 884 1105 1768 2210 4420 8840 12841 25682 51364 64205 102728 128410 166933 218297 256820 333866 436594 513640 667732 834665 873188 1091485 1335464 1669330 1746376 2182970 2837861 3338660 4365940 5675722 6677320 8731880 11351444 14189305 22702888 28378610 56757220 113514440