[go: up one dir, main page]

Search a number
-
+
140243040 = 25325713913
BaseRepresentation
bin10000101101111…
…11000001100000
3100202220002021200
420112333001200
5241400234130
621525521200
73322021560
oct1026770140
9322802250
10140243040
1172188743
123ab73200
1323093b62
14148a8da0
15c4a3760
hex85bf060

140243040 has 144 divisors (see below), whose sum is σ = 546987168. Its totient is φ = 32053248.

The previous prime is 140243023. The next prime is 140243053. The reversal of 140243040 is 40342041.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1402430402 = 39336220536883200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3124 + ... + 17036.

It is an arithmetic number, because the mean of its divisors is an integer number (3798522).

Almost surely, 2140243040 is an apocalyptic number.

140243040 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 140243040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273493584).

140243040 is an abundant number, since it is smaller than the sum of its proper divisors (406744128).

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

140243040 is a wasteful number, since it uses less digits than its factorization.

140243040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13941 (or 13930 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 140243040 is about 11842.4254272510. The cubic root of 140243040 is about 519.5497088046.

Adding to 140243040 its reverse (40342041), we get a palindrome (180585081).

Subtracting from 140243040 its reverse (40342041), we obtain a palindrome (99900999).

The spelling of 140243040 in words is "one hundred forty million, two hundred forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080 13913 27826 41739 55652 69565 83478 97391 111304 125217 139130 166956 194782 208695 222608 250434 278260 292173 333912 389564 417390 445216 486955 500868 556520 584346 626085 667824 779128 834780 876519 973910 1001736 1113040 1168692 1252170 1335648 1460865 1558256 1669560 1753038 1947820 2003472 2226080 2337384 2504340 2921730 3116512 3339120 3506076 3895640 4006944 4382595 4674768 5008680 5843460 6678240 7012152 7791280 8765190 9349536 10017360 11686920 14024304 15582560 17530380 20034720 23373840 28048608 35060760 46747680 70121520 140243040