Search a number
-
+
143688168 = 23341337461
BaseRepresentation
bin10001001000010…
…00000111101000
3101000101010010000
420210020013220
5243241010133
622131423000
73363220641
oct1044100750
9330333100
10143688168
1174121058
1240154a60
13239cbcb0
14151246c8
15c934413
hex89081e8

143688168 has 160 divisors (see below), whose sum is σ = 446097960. Its totient is φ = 42923520.

The previous prime is 143688161. The next prime is 143688173. The reversal of 143688168 is 861886341.

It is a happy number.

It is a Cunningham number, because it is equal to 119872-1.

It can be written as a sum of positive squares in 4 ways, for example, as 116251524 + 27436644 = 10782^2 + 5238^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (143688161) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 311458 + ... + 311918.

Almost surely, 2143688168 is an apocalyptic number.

143688168 is a gapful number since it is divisible by the number (18) 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 143688168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223048980).

143688168 is an abundant number, since it is smaller than the sum of its proper divisors (302409792).

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

143688168 is a wasteful number, since it uses less digits than its factorization.

143688168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 516 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 143688168 is about 11986.9999582881. Note that the first 4 decimals coincide. The cubic root of 143688168 is about 523.7696577095.

The spelling of 143688168 in words is "one hundred forty-three million, six hundred eighty-eight thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 37 39 52 54 72 74 78 81 104 108 111 117 148 156 162 216 222 234 296 312 324 333 351 444 461 468 481 648 666 702 888 922 936 962 999 1053 1332 1383 1404 1443 1844 1924 1998 2106 2664 2766 2808 2886 2997 3688 3848 3996 4149 4212 4329 5532 5772 5993 5994 7992 8298 8424 8658 11064 11544 11986 11988 12447 12987 16596 17057 17316 17979 23972 23976 24894 25974 33192 34114 34632 35958 37341 38961 47944 49788 51171 51948 53937 68228 71916 74682 77922 99576 102342 103896 107874 136456 143832 149364 153513 155844 161811 204684 215748 221741 298728 307026 311688 323622 409368 431496 443482 460539 485433 614052 647244 665223 886964 921078 970866 1228104 1294488 1330446 1381617 1773928 1842156 1941732 1995669 2660892 2763234 3684312 3883464 3991338 5321784 5526468 5987007 7982676 11052936 11974014 15965352 17961021 23948028 35922042 47896056 71844084 143688168