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273317142 = 23723319127
BaseRepresentation
bin10000010010100…
…111110100010110
3201001021221122010
4100102213310112
51024432122032
643042045050
76526104660
oct2022476426
9631257563
10273317142
1113030a23a
1277649786
1344817927
1428429530
1518edcccc
hex104a7d16

273317142 has 64 divisors (see below), whose sum is σ = 672989184. Its totient is φ = 72277920.

The previous prime is 273317137. The next prime is 273317153. The reversal of 273317142 is 241713372.

273317142 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2733171422 = 149404520222096328, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 25383 + ... + 34509.

It is an arithmetic number, because the mean of its divisors is an integer number (10515456).

Almost surely, 2273317142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 273317142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336494592).

273317142 is an abundant number, since it is smaller than the sum of its proper divisors (399672042).

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

273317142 is a wasteful number, since it uses less digits than its factorization.

273317142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9193.

The product of its digits is 7056, while the sum is 30.

The square root of 273317142 is about 16532.3060097495. The cubic root of 273317142 is about 648.9665170289.

The spelling of 273317142 in words is "two hundred seventy-three million, three hundred seventeen thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 14 21 23 31 42 46 62 69 93 138 161 186 217 322 434 483 651 713 966 1302 1426 2139 4278 4991 9127 9982 14973 18254 27381 29946 54762 63889 127778 191667 209921 282937 383334 419842 565874 629763 848811 1259526 1469447 1697622 1980559 2938894 3961118 4408341 5941677 6507551 8816682 11883354 13015102 19522653 39045306 45552857 91105714 136658571 273317142