Search a number
-
+
113490500 = 2253613
BaseRepresentation
bin1101100001110…
…11101001000100
321220112220200212
412300323221010
5213023144000
615132254552
72545440044
oct660735104
9256486625
10113490500
1159076102
1232011458
131a688056
1411103724
159e6bc35
hex6c3ba44

113490500 has 48 divisors (see below), whose sum is σ = 251994288. Its totient is φ = 44652000.

The previous prime is 113490499. The next prime is 113490527. The reversal of 113490500 is 5094311.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 101324356 + 12166144 = 10066^2 + 3488^2 .

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, 1860470 + ... + 1860530.

It is an arithmetic number, because the mean of its divisors is an integer number (5249881).

Almost surely, 2113490500 is an apocalyptic number.

113490500 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 113490500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125997144).

113490500 is an abundant number, since it is smaller than the sum of its proper divisors (138503788).

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

113490500 is an frugal number, since it uses more digits than its factorization.

113490500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 113490500 is about 10653.1920099095. The cubic root of 113490500 is about 484.1573208503.

The spelling of 113490500 in words is "one hundred thirteen million, four hundred ninety thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 125 244 250 305 500 610 1220 1525 3050 3721 6100 7442 7625 14884 15250 18605 30500 37210 74420 93025 186050 226981 372100 453962 465125 907924 930250 1134905 1860500 2269810 4539620 5674525 11349050 22698100 28372625 56745250 113490500