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742120316 = 227194332441
BaseRepresentation
bin101100001110111…
…101101101111100
31220201102121200122
4230032331231330
53004440322231
6201350114112
724250630040
oct5416755574
91821377618
10742120316
113509a8a83
1218864b938
13ba999062
14707c0020
154524277b
hex2c3bdb7c

742120316 has 48 divisors (see below), whose sum is σ = 1598741760. Its totient is φ = 294295680.

The previous prime is 742120289. The next prime is 742120339. The reversal of 742120316 is 613021247.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6656 + ... + 39096.

It is an arithmetic number, because the mean of its divisors is an integer number (33307120).

Almost surely, 2742120316 is an apocalyptic number.

742120316 is a gapful number since it is divisible by the number (76) 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 742120316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799370880).

742120316 is an abundant number, since it is smaller than the sum of its proper divisors (856621444).

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

742120316 is a wasteful number, since it uses less digits than its factorization.

742120316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32514 (or 32512 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 742120316 is about 27241.8853238905. The cubic root of 742120316 is about 905.3672353513.

The spelling of 742120316 in words is "seven hundred forty-two million, one hundred twenty thousand, three hundred sixteen".

Divisors: 1 2 4 7 14 19 28 38 43 76 86 133 172 266 301 532 602 817 1204 1634 3268 5719 11438 22876 32441 64882 129764 227087 454174 616379 908348 1232758 1394963 2465516 2789926 4314653 5579852 8629306 9764741 17258612 19529482 26504297 39058964 53008594 106017188 185530079 371060158 742120316