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742731120 = 24345611879
BaseRepresentation
bin101100010001010…
…010110101110000
31220202120122120000
4230101102311300
53010114343440
6201411150000
724256052565
oct5421226560
91822518500
10742731120
1135128597a
121888a5300
13bab51091
14708dc86c
1545313730
hex2c452d70

742731120 has 200 divisors, whose sum is σ = 2623299360. Its totient is φ = 194711040.

The previous prime is 742731107. The next prime is 742731137. The reversal of 742731120 is 21137247.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 394341 + ... + 396219.

Almost surely, 2742731120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 742731120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311649680).

742731120 is an abundant number, since it is smaller than the sum of its proper divisors (1880568240).

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

742731120 is a wasteful number, since it uses less digits than its factorization.

742731120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1965 (or 1950 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 742731120 is about 27253.0937693320. The cubic root of 742731120 is about 905.6155554999.

Adding to 742731120 its reverse (21137247), we get a palindrome (763868367).

The spelling of 742731120 in words is "seven hundred forty-two million, seven hundred thirty-one thousand, one hundred twenty".