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113000040 = 23325313889
BaseRepresentation
bin1101011110000…
…11111001101000
321212121222220200
412233003321220
5212412000130
615113552200
72541325116
oct657037150
9255558820
10113000040
115887066a
1231a15660
131a545a3a
1411016ab6
159dc1760
hex6bc3e68

113000040 has 48 divisors (see below), whose sum is σ = 367251300. Its totient is φ = 30133248.

The previous prime is 113000033. The next prime is 113000057. The reversal of 113000040 is 40000311.

It can be written as a sum of positive squares in 2 ways, for example, as 103673124 + 9326916 = 10182^2 + 3054^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 112999986 and 113000031.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 156585 + ... + 157304.

Almost surely, 2113000040 is an apocalyptic number.

113000040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113000040 is an abundant number, since it is smaller than the sum of its proper divisors (254251260).

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

113000040 is a wasteful number, since it uses less digits than its factorization.

113000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313906 (or 313899 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 113000040 is about 10630.1476941762. The cubic root of 113000040 is about 483.4588697564.

Adding to 113000040 its reverse (40000311), we get a palindrome (153000351).

The spelling of 113000040 in words is "one hundred thirteen million, forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 313889 627778 941667 1255556 1569445 1883334 2511112 2825001 3138890 3766668 4708335 5650002 6277780 7533336 9416670 11300004 12555560 14125005 18833340 22600008 28250010 37666680 56500020 113000040