Search a number
-
+
143640 = 23335719
BaseRepresentation
bin100011000100011000
321022001000
4203010120
514044030
63025000
71135530
oct430430
9238030
10143640
1198a12
126b160
13504c3
143a4c0
152c860
hex23118

143640 has 128 divisors (see below), whose sum is σ = 576000. Its totient is φ = 31104.

The previous prime is 143629. The next prime is 143651. The reversal of 143640 is 46341.

Adding to 143640 its reverse (46341), we get a palindrome (189981).

It is a Cunningham number, because it is equal to 3792-1.

It is an interprime number because it is at equal distance from previous prime (143629) and next prime (143651).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 143640.

It is an unprimeable number.

143640 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7551 + ... + 7569.

It is an arithmetic number, because the mean of its divisors is an integer number (4500).

2143640 is an apocalyptic number.

143640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

143640 is the 240-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 143640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288000).

143640 is an abundant number, since it is smaller than the sum of its proper divisors (432360).

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

143640 is a wasteful number, since it uses less digits than its factorization.

143640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 143640 is about 378.9986807365. The cubic root of 143640 is about 52.3711124111.

The spelling of 143640 in words is "one hundred forty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 19 20 21 24 27 28 30 35 36 38 40 42 45 54 56 57 60 63 70 72 76 84 90 95 105 108 114 120 126 133 135 140 152 168 171 180 189 190 210 216 228 252 266 270 280 285 315 342 360 378 380 399 420 456 504 513 532 540 570 630 665 684 756 760 798 840 855 945 1026 1064 1080 1140 1197 1260 1330 1368 1512 1596 1710 1890 1995 2052 2280 2394 2520 2565 2660 3192 3420 3591 3780 3990 4104 4788 5130 5320 5985 6840 7182 7560 7980 9576 10260 11970 14364 15960 17955 20520 23940 28728 35910 47880 71820 143640