Search a number
-
+
140223440 = 24572411039
BaseRepresentation
bin10000101101110…
…10001111010000
3100202212002101202
420112322033100
5241344122230
621525250332
73321610460
oct1026721720
9322762352
10140223440
1172174a45
123ab639a8
1323087c66
14148a1ba0
15c49ca45
hex85ba3d0

140223440 has 80 divisors (see below), whose sum is σ = 374499840. Its totient is φ = 47831040.

The previous prime is 140223431. The next prime is 140223449. The reversal of 140223440 is 44322041.

It is an interprime number because it is at equal distance from previous prime (140223431) and next prime (140223449).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1402234402 = 39325226250867200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140223449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134441 + ... + 135479.

It is an arithmetic number, because the mean of its divisors is an integer number (4681248).

Almost surely, 2140223440 is an apocalyptic number.

140223440 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 140223440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187249920).

140223440 is an abundant number, since it is smaller than the sum of its proper divisors (234276400).

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

140223440 is a wasteful number, since it uses less digits than its factorization.

140223440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 140223440 is about 11841.5978651532. The cubic root of 140223440 is about 519.5255040414.

Adding to 140223440 its reverse (44322041), we get a palindrome (184545481).

It can be divided in two parts, 1402 and 23440, that added together give a palindrome (24842).

The spelling of 140223440 in words is "one hundred forty million, two hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 241 280 482 560 964 1039 1205 1687 1928 2078 2410 3374 3856 4156 4820 5195 6748 7273 8312 8435 9640 10390 13496 14546 16624 16870 19280 20780 26992 29092 33740 36365 41560 58184 67480 72730 83120 116368 134960 145460 250399 290920 500798 581840 1001596 1251995 1752793 2003192 2503990 3505586 4006384 5007980 7011172 8763965 10015960 14022344 17527930 20031920 28044688 35055860 70111720 140223440