[go: up one dir, main page]

Search a number
-
+
113001040 = 2451783089
BaseRepresentation
bin1101011110001…
…00001001010000
321212122001021201
412233010021100
5212412013130
615114000544
72541331045
oct657041120
9255561251
10113001040
1158871399
1231a16154
131a546329
14110171cc
159dc1bca
hex6bc4250

113001040 has 40 divisors (see below), whose sum is σ = 278185320. Its totient is φ = 42541056.

The previous prime is 113001029. The next prime is 113001041. The reversal of 113001040 is 40100311.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1993744 + 111007296 = 1412^2 + 10536^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113001041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40185 + ... + 42904.

It is an arithmetic number, because the mean of its divisors is an integer number (6954633).

Almost surely, 2113001040 is an apocalyptic number.

113001040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113001040 is an abundant number, since it is smaller than the sum of its proper divisors (165184280).

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

113001040 is a wasteful number, since it uses less digits than its factorization.

113001040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83119 (or 83113 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 113001040 is about 10630.1947301073. The cubic root of 113001040 is about 483.4602958841.

Adding to 113001040 its reverse (40100311), we get a palindrome (153101351).

The spelling of 113001040 in words is "one hundred thirteen million, one thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 83089 166178 332356 415445 664712 830890 1329424 1412513 1661780 2825026 3323560 5650052 6647120 7062565 11300104 14125130 22600208 28250260 56500520 113001040