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742690080 = 253351115629
BaseRepresentation
bin101100010001001…
…000110100100000
31220202111120021000
4230101020310200
53010112040310
6201410232000
724255522126
oct5421106440
91822446230
10742690080
11351258060
12188885600
13bab384b2
14708cb916
15453064c0
hex2c448d20

742690080 has 192 divisors, whose sum is σ = 2835907200. Its totient is φ = 180034560.

The previous prime is 742690073. The next prime is 742690093. The reversal of 742690080 is 80096247.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39706 + ... + 55334.

It is an arithmetic number, because the mean of its divisors is an integer number (14770350).

Almost surely, 2742690080 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 742690080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1417953600).

742690080 is an abundant number, since it is smaller than the sum of its proper divisors (2093217120).

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

742690080 is a wasteful number, since it uses less digits than its factorization.

742690080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15664 (or 15650 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 742690080 is about 27252.3408168913. The cubic root of 742690080 is about 905.5988751042.

The spelling of 742690080 in words is "seven hundred forty-two million, six hundred ninety thousand, eighty".