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140005242 = 232134114593
BaseRepresentation
bin10000101100001…
…00111101111010
3100202110000002100
420112010331322
5241320131432
621520444230
73320011356
oct1026047572
9322400070
10140005242
1172036013
123aa79676
132300c850
1414846466
15c45807c
hex8584f7a

140005242 has 48 divisors (see below), whose sum is σ = 334669608. Its totient is φ = 42024960.

The previous prime is 140005231. The next prime is 140005247. The reversal of 140005242 is 242500041.

140005242 is a `hidden beast` number, since 140 + 0 + 0 + 524 + 2 = 666.

140005242 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 27029601 + 112975641 = 5199^2 + 10629^2 .

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

It is not an unprimeable number, because it can be changed into a prime (140005247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2298 + ... + 16890.

Almost surely, 2140005242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140005242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167334804).

140005242 is an abundant number, since it is smaller than the sum of its proper divisors (194664366).

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

140005242 is a wasteful number, since it uses less digits than its factorization.

140005242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14655 (or 14652 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 140005242 is about 11832.3810790559. The cubic root of 140005242 is about 519.2558908314.

Adding to 140005242 its reverse (242500041), we get a palindrome (382505283).

The spelling of 140005242 in words is "one hundred forty million, five thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 41 78 82 117 123 234 246 369 533 738 1066 1599 3198 4797 9594 14593 29186 43779 87558 131337 189709 262674 379418 569127 598313 1138254 1196626 1707381 1794939 3414762 3589878 5384817 7778069 10769634 15556138 23334207 46668414 70002621 140005242