Search a number
-
+
113548656 = 24313283643
BaseRepresentation
bin1101100010010…
…01110101110000
321220122212110210
412301021311300
5213032024111
615133424120
72546101434
oct661116560
9256585423
10113548656
1159105871
123203b040
131a6a8670
141111a9c4
159e7e0a6
hex6c49d70

113548656 has 80 divisors (see below), whose sum is σ = 317507456. Its totient is φ = 34760448.

The previous prime is 113548637. The next prime is 113548697. The reversal of 113548656 is 656845311.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 176271 + ... + 176913.

Almost surely, 2113548656 is an apocalyptic number.

113548656 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 113548656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158753728).

113548656 is an abundant number, since it is smaller than the sum of its proper divisors (203958800).

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

113548656 is a wasteful number, since it uses less digits than its factorization.

113548656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950 (or 944 counting only the distinct ones).

The product of its digits is 86400, while the sum is 39.

The square root of 113548656 is about 10655.9211708796. The cubic root of 113548656 is about 484.2400057302.

The spelling of 113548656 in words is "one hundred thirteen million, five hundred forty-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 283 312 566 624 643 849 1132 1286 1698 1929 2264 2572 3396 3679 3858 4528 5144 6792 7358 7716 8359 10288 11037 13584 14716 15432 16718 22074 25077 29432 30864 33436 44148 50154 58864 66872 88296 100308 133744 176592 181969 200616 363938 401232 545907 727876 1091814 1455752 2183628 2365597 2911504 4367256 4731194 7096791 8734512 9462388 14193582 18924776 28387164 37849552 56774328 113548656