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113410304 = 28729041
BaseRepresentation
bin1101100001010…
…00000100000000
321220101211200122
412300220010000
5213013112204
615130435412
72544654200
oct660500400
9256354618
10113410304
1159020927
1231b92b68
131a65a6b7
14110c2400
159e530be
hex6c28100

113410304 has 54 divisors (see below), whose sum is σ = 263366334. Its totient is φ = 48599040.

The previous prime is 113410289. The next prime is 113410321. The reversal of 113410304 is 403014311.

It can be written as a sum of positive squares in only one way, i.e., 113209600 + 200704 = 10640^2 + 448^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8024 + ... + 17064.

Almost surely, 2113410304 is an apocalyptic number.

113410304 is a gapful number since it is divisible by the number (14) 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 113410304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131683167).

113410304 is an abundant number, since it is smaller than the sum of its proper divisors (149956030).

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

113410304 is an frugal number, since it uses more digits than its factorization.

113410304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9071 (or 9050 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 113410304 is about 10649.4274024475. The cubic root of 113410304 is about 484.0432536533.

Adding to 113410304 its reverse (403014311), we get a palindrome (516424615).

The spelling of 113410304 in words is "one hundred thirteen million, four hundred ten thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 784 896 1568 1792 3136 6272 9041 12544 18082 36164 63287 72328 126574 144656 253148 289312 443009 506296 578624 886018 1012592 1157248 1772036 2025184 2314496 3544072 4050368 7088144 8100736 14176288 16201472 28352576 56705152 113410304