Search a number
-
+
140010016 = 25231811051
BaseRepresentation
bin10000101100001…
…10001000100000
3100202110020122011
420112012020200
5241320310031
621520522304
73320031316
oct1026061040
9322406564
10140010016
1172039663
123aa80394
1323011a83
14148480b6
15c4596b1
hex8586220

140010016 has 48 divisors (see below), whose sum is σ = 289493568. Its totient is φ = 66528000.

The previous prime is 140010001. The next prime is 140010019. The reversal of 140010016 is 610010041.

It is a junction number, because it is equal to n+sod(n) for n = 140009978 and 140010005.

It is not an unprimeable number, because it can be changed into a prime (140010019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132691 + ... + 133741.

It is an arithmetic number, because the mean of its divisors is an integer number (6031116).

Almost surely, 2140010016 is an apocalyptic number.

140010016 is a gapful number since it is divisible by the number (16) 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 140010016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144746784).

140010016 is an abundant number, since it is smaller than the sum of its proper divisors (149483552).

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

140010016 is a wasteful number, since it uses less digits than its factorization.

140010016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1265 (or 1257 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 140010016 is about 11832.5828118801. The cubic root of 140010016 is about 519.2617927519.

Adding to 140010016 its reverse (610010041), we get a palindrome (750020057).

The spelling of 140010016 in words is "one hundred forty million, ten thousand, sixteen".

Divisors: 1 2 4 8 16 23 32 46 92 181 184 362 368 724 736 1051 1448 2102 2896 4163 4204 5792 8326 8408 16652 16816 24173 33304 33632 48346 66608 96692 133216 190231 193384 380462 386768 760924 773536 1521848 3043696 4375313 6087392 8750626 17501252 35002504 70005008 140010016