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140242032 = 243273732
BaseRepresentation
bin10000101101111…
…10110001110000
3100202220000220100
420112332301300
5241400221112
621525512400
73322015620
oct1026766160
9322800810
10140242032
1172187a07
123ab72700
1323093568
14148a8880
15c4a32dc
hex85bec70

140242032 has 90 divisors (see below), whose sum is σ = 449757672. Its totient is φ = 39961728.

The previous prime is 140242013. The next prime is 140242033. The reversal of 140242032 is 230242041.

140242032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 140241996 and 140242014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140242033) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 375798 + ... + 376170.

Almost surely, 2140242032 is an apocalyptic number.

140242032 is a gapful number since it is divisible by the number (12) 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 140242032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224878836).

140242032 is an abundant number, since it is smaller than the sum of its proper divisors (309515640).

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

140242032 is an equidigital number, since it uses as much as digits as its factorization.

140242032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 385 counting only the distinct ones).

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

The square root of 140242032 is about 11842.3828683251. The cubic root of 140242032 is about 519.5484640433.

Adding to 140242032 its reverse (230242041), we get a palindrome (370484073).

Subtracting 140242032 from its reverse (230242041), we obtain a palindrome (90000009).

It can be divided in two parts, 1402 and 42032, that added together give a palindrome (43434).

The spelling of 140242032 in words is "one hundred forty million, two hundred forty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 373 504 746 1008 1119 1492 2238 2611 2984 3357 4476 5222 5968 6714 7833 8952 10444 13428 15666 17904 20888 23499 26856 31332 41776 46998 53712 62664 93996 125328 139129 187992 278258 375984 417387 556516 834774 973903 1113032 1252161 1669548 1947806 2226064 2504322 2921709 3339096 3895612 5008644 5843418 6678192 7791224 8765127 10017288 11686836 15582448 17530254 20034576 23373672 35060508 46747344 70121016 140242032