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113284500 = 22353710789
BaseRepresentation
bin1101100000010…
…01010110010100
321220011110010020
412300021112110
5213000101000
615124025140
72543621340
oct660112624
9256143106
10113284500
1158a4535a
1231b321b0
131a615364
141108c620
159e2aba0
hex6c09594

113284500 has 96 divisors (see below), whose sum is σ = 377045760. Its totient is φ = 25891200.

The previous prime is 113284487. The next prime is 113284513. The reversal of 113284500 is 5482311.

It is an interprime number because it is at equal distance from previous prime (113284487) and next prime (113284513).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5106 + ... + 15894.

It is an arithmetic number, because the mean of its divisors is an integer number (3927560).

Almost surely, 2113284500 is an apocalyptic number.

113284500 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 113284500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188522880).

113284500 is an abundant number, since it is smaller than the sum of its proper divisors (263761260).

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

113284500 is a wasteful number, since it uses less digits than its factorization.

113284500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10818 (or 10806 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 113284500 is about 10643.5191548660. The cubic root of 113284500 is about 483.8642072891.

The spelling of 113284500 in words is "one hundred thirteen million, two hundred eighty-four thousand, five hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 125 140 150 175 210 250 300 350 375 420 500 525 700 750 875 1050 1500 1750 2100 2625 3500 5250 10500 10789 21578 32367 43156 53945 64734 75523 107890 129468 151046 161835 215780 226569 269725 302092 323670 377615 453138 539450 647340 755230 809175 906276 1078900 1132845 1348625 1510460 1618350 1888075 2265690 2697250 3236700 3776150 4045875 4531380 5394500 5664225 7552300 8091750 9440375 11328450 16183500 18880750 22656900 28321125 37761500 56642250 113284500