Search a number
-
+
112016420 = 2256778273
BaseRepresentation
bin1101010110100…
…11110000100100
321210210000122022
412223103300210
5212134011140
615040522312
72530060325
oct653236044
9253700568
10112016420
115825965a
1231620398
131a290109
1410c3c44c
159c7a0b5
hex6ad3c24

112016420 has 24 divisors (see below), whose sum is σ = 235610424. Its totient is φ = 44734976.

The previous prime is 112016363. The next prime is 112016449. The reversal of 112016420 is 24610211.

It can be written as a sum of positive squares in 4 ways, for example, as 59105344 + 52911076 = 7688^2 + 7274^2 .

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 7 ways as a sum of consecutive naturals, for example, 9404 + ... + 17676.

It is an arithmetic number, because the mean of its divisors is an integer number (9817101).

Almost surely, 2112016420 is an apocalyptic number.

112016420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112016420 is an abundant number, since it is smaller than the sum of its proper divisors (123594004).

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

112016420 is a wasteful number, since it uses less digits than its factorization.

112016420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8959 (or 8957 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 112016420 is about 10583.7809879079. The cubic root of 112016420 is about 482.0520079554.

Adding to 112016420 its reverse (24610211), we get a palindrome (136626631).

The spelling of 112016420 in words is "one hundred twelve million, sixteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 677 1354 2708 3385 6770 8273 13540 16546 33092 41365 82730 165460 5600821 11201642 22403284 28004105 56008210 112016420