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163742460 = 223571971979
BaseRepresentation
bin10011100001010…
…00001011111100
3102102002222102120
421300220023330
5313404224320
624125322540
74025534160
oct1160501374
9372088376
10163742460
1184479152
1246a06450
1327c0103b
1417a64ca0
15e596440
hex9c282fc

163742460 has 96 divisors (see below), whose sum is σ = 526901760. Its totient is φ = 37218048.

The previous prime is 163742459. The next prime is 163742461. The reversal of 163742460 is 64247361.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (163742459) and next prime (163742461).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (163742461) by changing a digit.

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, 81751 + ... + 83729.

It is an arithmetic number, because the mean of its divisors is an integer number (5488560).

Almost surely, 2163742460 is an apocalyptic number.

163742460 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 163742460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263450880).

163742460 is an abundant number, since it is smaller than the sum of its proper divisors (363159300).

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

163742460 is a wasteful number, since it uses less digits than its factorization.

163742460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2195 (or 2193 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 163742460 is about 12796.1892764995. The cubic root of 163742460 is about 547.0836934549.

The spelling of 163742460 in words is "one hundred sixty-three million, seven hundred forty-two thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 197 210 394 420 591 788 985 1182 1379 1970 1979 2364 2758 2955 3940 3958 4137 5516 5910 5937 6895 7916 8274 9895 11820 11874 13790 13853 16548 19790 20685 23748 27580 27706 29685 39580 41370 41559 55412 59370 69265 82740 83118 118740 138530 166236 207795 277060 389863 415590 779726 831180 1169589 1559452 1949315 2339178 2729041 3898630 4678356 5458082 5847945 7797260 8187123 10916164 11695890 13645205 16374246 23391780 27290410 32748492 40935615 54580820 81871230 163742460