Search a number
-
+
113805360 = 24325263601
BaseRepresentation
bin1101100100010…
…00100000110000
321221010220121100
412302020200300
5213113232420
615143124400
72551221024
oct662104060
9257126540
10113805360
1159270719
1232143700
131a768466
1411186384
159ed0190
hex6c88830

113805360 has 120 divisors (see below), whose sum is σ = 384287904. Its totient is φ = 30182400.

The previous prime is 113805343. The next prime is 113805397. The reversal of 113805360 is 63508311.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 189060 + ... + 189660.

Almost surely, 2113805360 is an apocalyptic number.

113805360 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 113805360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192143952).

113805360 is an abundant number, since it is smaller than the sum of its proper divisors (270482544).

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

113805360 is a wasteful number, since it uses less digits than its factorization.

113805360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 113805360 is about 10667.9595049850. The cubic root of 113805360 is about 484.6046446832.

The spelling of 113805360 in words is "one hundred thirteen million, eight hundred five thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 263 360 526 601 720 789 1052 1202 1315 1578 1803 2104 2367 2404 2630 3005 3156 3606 3945 4208 4734 4808 5260 5409 6010 6312 7212 7890 9015 9468 9616 10520 10818 11835 12020 12624 14424 15780 18030 18936 21040 21636 23670 24040 27045 28848 31560 36060 37872 43272 47340 48080 54090 63120 72120 86544 94680 108180 144240 158063 189360 216360 316126 432720 474189 632252 790315 948378 1264504 1422567 1580630 1896756 2370945 2529008 2845134 3161260 3793512 4741890 5690268 6322520 7112835 7587024 9483780 11380536 12645040 14225670 18967560 22761072 28451340 37935120 56902680 113805360