Search a number
-
+
168363960 = 23352814993
BaseRepresentation
bin10100000100100…
…00011110111000
3102201210202221020
422002100132320
5321100121320
624412342440
74113033012
oct1202203670
9381722836
10168363960
1187045376
1248474a20
1328b5b75b
14185091b2
15ebaa940
hexa0907b8

168363960 has 64 divisors (see below), whose sum is σ = 506990880. Its totient is φ = 44728320.

The previous prime is 168363947. The next prime is 168363961. The reversal of 168363960 is 69363861.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168363961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31224 + ... + 36216.

Almost surely, 2168363960 is an apocalyptic number.

168363960 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 168363960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253495440).

168363960 is an abundant number, since it is smaller than the sum of its proper divisors (338626920).

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

168363960 is a wasteful number, since it uses less digits than its factorization.

168363960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5288 (or 5284 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 168363960 is about 12975.5138626568. The cubic root of 168363960 is about 552.1830153491.

Subtracting from 168363960 its reverse (69363861), we obtain a palindrome (99000099).

The spelling of 168363960 in words is "one hundred sixty-eight million, three hundred sixty-three thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 281 562 843 1124 1405 1686 2248 2810 3372 4215 4993 5620 6744 8430 9986 11240 14979 16860 19972 24965 29958 33720 39944 49930 59916 74895 99860 119832 149790 199720 299580 599160 1403033 2806066 4209099 5612132 7015165 8418198 11224264 14030330 16836396 21045495 28060660 33672792 42090990 56121320 84181980 168363960