Search a number
-
+
143541540 = 223251761769
BaseRepresentation
bin10001000111001…
…00010100100100
3101000002122222100
420203210110210
5243221312130
622124332100
73362040312
oct1043442444
9330078870
10143541540
117403097a
12400a4030
132397a32c
14150c70b2
15c905c60
hex88e4524

143541540 has 144 divisors (see below), whose sum is σ = 469188720. Its totient is φ = 35389440.

The previous prime is 143541529. The next prime is 143541553. The reversal of 143541540 is 45145341.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 10969344 + 132572196 = 3312^2 + 11514^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 186276 + ... + 187044.

It is an arithmetic number, because the mean of its divisors is an integer number (3258255).

Almost surely, 2143541540 is an apocalyptic number.

143541540 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 143541540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234594360).

143541540 is an abundant number, since it is smaller than the sum of its proper divisors (325647180).

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

143541540 is a wasteful number, since it uses less digits than its factorization.

143541540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 143541540 is about 11980.8822713521. The cubic root of 143541540 is about 523.5914351117.

Adding to 143541540 its reverse (45145341), we get a palindrome (188686881).

The spelling of 143541540 in words is "one hundred forty-three million, five hundred forty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 61 68 85 90 102 122 153 170 180 183 204 244 255 305 306 340 366 510 549 610 612 732 765 769 915 1020 1037 1098 1220 1530 1538 1830 2074 2196 2307 2745 3060 3076 3111 3660 3845 4148 4614 5185 5490 6222 6921 7690 9228 9333 10370 10980 11535 12444 13073 13842 15380 15555 18666 20740 23070 26146 27684 31110 34605 37332 39219 46140 46665 46909 52292 62220 65365 69210 78438 93330 93818 117657 130730 138420 140727 156876 186660 187636 196095 234545 235314 261460 281454 392190 422181 469090 470628 562908 588285 703635 784380 797453 844362 938180 1176570 1407270 1594906 1688724 2110905 2353140 2392359 2814540 3189812 3987265 4221810 4784718 7177077 7974530 8443620 9569436 11961795 14354154 15949060 23923590 28708308 35885385 47847180 71770770 143541540