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112605520 = 2451407569
BaseRepresentation
bin1101011011000…
…11100101010000
321211212221201211
412231203211100
5212311334040
615101305504
72535062656
oct655434520
9254787654
10112605520
1158621215
1231865294
131a4382b1
1410d52dd6
159d448ea
hex6b63950

112605520 has 20 divisors (see below), whose sum is σ = 261808020. Its totient is φ = 45042176.

The previous prime is 112605497. The next prime is 112605523. The reversal of 112605520 is 25506211.

It can be written as a sum of positive squares in 2 ways, for example, as 13483584 + 99121936 = 3672^2 + 9956^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 112605491 and 112605500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112605523) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 703705 + ... + 703864.

It is an arithmetic number, because the mean of its divisors is an integer number (13090401).

Almost surely, 2112605520 is an apocalyptic number.

112605520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112605520 is an abundant number, since it is smaller than the sum of its proper divisors (149202500).

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

112605520 is a wasteful number, since it uses less digits than its factorization.

112605520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407582 (or 1407576 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 112605520 is about 10611.5748124395. The cubic root of 112605520 is about 482.8955761605.

The spelling of 112605520 in words is "one hundred twelve million, six hundred five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1407569 2815138 5630276 7037845 11260552 14075690 22521104 28151380 56302760 112605520