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112020480 = 210325111317
BaseRepresentation
bin1101010110101…
…00110000000000
321210210020012200
412223110300000
5212134123410
615040553200
72530105215
oct653246000
9253706180
10112020480
1158261710
1231622800
131a291c10
1410c3db0c
159c7b3c0
hex6ad4c00

112020480 has 528 divisors, whose sum is σ = 482829984. Its totient is φ = 23592960.

The previous prime is 112020457. The next prime is 112020521. The reversal of 112020480 is 84020211.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6589432 + ... + 6589448.

Almost surely, 2112020480 is an apocalyptic number.

112020480 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 112020480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241414992).

112020480 is an abundant number, since it is smaller than the sum of its proper divisors (370809504).

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

112020480 is a wasteful number, since it uses less digits than its factorization.

112020480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 112020480 is about 10583.9727890807. The cubic root of 112020480 is about 482.0578318263.

Adding to 112020480 its reverse (84020211), we get a palindrome (196040691).

The spelling of 112020480 in words is "one hundred twelve million, twenty thousand, four hundred eighty".