Search a number
-
+
143024640 = 2935111693
BaseRepresentation
bin10001000011001…
…10001000000000
3100222010101220220
420201212020000
5243103242030
622105303040
73354455313
oct1041461000
9328111826
10143024640
1173808590
123ba94a80
1323828c85
1414dd097a
15c852a10
hex8866200

143024640 has 160 divisors (see below), whose sum is σ = 499093056. Its totient is φ = 34652160.

The previous prime is 143024639. The next prime is 143024701. The reversal of 143024640 is 46420341.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 143024640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83634 + ... + 85326.

Almost surely, 2143024640 is an apocalyptic number.

143024640 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 143024640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249546528).

143024640 is an abundant number, since it is smaller than the sum of its proper divisors (356068416).

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

143024640 is a wasteful number, since it uses less digits than its factorization.

143024640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1730 (or 1714 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 143024640 is about 11959.2909488815. The cubic root of 143024640 is about 522.9621865282.

Adding to 143024640 its reverse (46420341), we get a palindrome (189444981).

The spelling of 143024640 in words is "one hundred forty-three million, twenty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 256 264 320 330 352 384 440 480 512 528 640 660 704 768 880 960 1056 1280 1320 1408 1536 1693 1760 1920 2112 2560 2640 2816 3386 3520 3840 4224 5079 5280 5632 6772 7040 7680 8448 8465 10158 10560 13544 14080 16896 16930 18623 20316 21120 25395 27088 28160 33860 37246 40632 42240 50790 54176 55869 67720 74492 81264 84480 93115 101580 108352 111738 135440 148984 162528 186230 203160 216704 223476 270880 279345 297968 325056 372460 406320 433408 446952 541760 558690 595936 650112 744920 812640 866816 893904 1083520 1117380 1191872 1300224 1489840 1625280 1787808 2167040 2234760 2383744 2600448 2979680 3250560 3575616 4334080 4469520 4767488 5959360 6501120 7151232 8939040 9534976 11918720 13002240 14302464 17878080 23837440 28604928 35756160 47674880 71512320 143024640