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140115360 = 253571117223
BaseRepresentation
bin10000101100111…
…11110110100000
3100202122121010210
420112133312200
5241332142420
621523054120
73320650410
oct1026376640
9322577123
10140115360
1172100820
123ab11340
132304a9c8
1414874640
15c47a9e0
hex859fda0

140115360 has 384 divisors, whose sum is σ = 585252864. Its totient is φ = 27279360.

The previous prime is 140115359. The next prime is 140115403. The reversal of 140115360 is 63511041.

140115360 is digitally balanced in base 2 and base 3, because in such bases 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 (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 628209 + ... + 628431.

It is an arithmetic number, because the mean of its divisors is an integer number (1524096).

Almost surely, 2140115360 is an apocalyptic number.

140115360 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 140115360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292626432).

140115360 is an abundant number, since it is smaller than the sum of its proper divisors (445137504).

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

140115360 is a wasteful number, since it uses less digits than its factorization.

140115360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 140115360 is about 11837.0334121350. The cubic root of 140115360 is about 519.3919915346.

It can be divided in two parts, 1401 and 15360, that added together give a palindrome (16761).

The spelling of 140115360 in words is "one hundred forty million, one hundred fifteen thousand, three hundred sixty".