Search a number
-
+
168266040 = 233511312409
BaseRepresentation
bin10100000011110…
…00100100111000
3102201121210121120
422001320210320
5321034003130
624410305240
74112144355
oct1201704470
9381553546
10168266040
1186a88848
1248428220
1328b26007
14184c162c
15eb8b910
hexa078938

168266040 has 64 divisors (see below), whose sum is σ = 509306400. Its totient is φ = 44470272.

The previous prime is 168266023. The next prime is 168266069. The reversal of 168266040 is 40662861.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 168265992 and 168266010.

It is a congruent number.

It is an unprimeable number.

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, 7356 + ... + 19764.

Almost surely, 2168266040 is an apocalyptic number.

168266040 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 168266040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254653200).

168266040 is an abundant number, since it is smaller than the sum of its proper divisors (341040360).

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

168266040 is a wasteful number, since it uses less digits than its factorization.

168266040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12536 (or 12532 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 168266040 is about 12971.7400528996. The cubic root of 168266040 is about 552.0759452324.

The spelling of 168266040 in words is "one hundred sixty-eight million, two hundred sixty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 113 120 226 339 452 565 678 904 1130 1356 1695 2260 2712 3390 4520 6780 12409 13560 24818 37227 49636 62045 74454 99272 124090 148908 186135 248180 297816 372270 496360 744540 1402217 1489080 2804434 4206651 5608868 7011085 8413302 11217736 14022170 16826604 21033255 28044340 33653208 42066510 56088680 84133020 168266040