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140116536 = 23327317877
BaseRepresentation
bin10000101101000…
…00001000111000
3100202122122202100
420112200020320
5241332212121
621523103400
73320654010
oct1026401070
9322578670
10140116536
117210169a
123ab11b60
132304b3c1
1414874c40
15c47b026
hex85a0238

140116536 has 96 divisors (see below), whose sum is σ = 435558240. Its totient is φ = 39861504.

The previous prime is 140116531. The next prime is 140116549. The reversal of 140116536 is 635611041.

140116536 is a `hidden beast` number, since 1 + 4 + 0 + 1 + 1 + 653 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140116531) 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, 159330 + ... + 160206.

It is an arithmetic number, because the mean of its divisors is an integer number (4537065).

Almost surely, 2140116536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140116536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217779120).

140116536 is an abundant number, since it is smaller than the sum of its proper divisors (295441704).

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

140116536 is a wasteful number, since it uses less digits than its factorization.

140116536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 140116536 is about 11837.0830866392. The cubic root of 140116536 is about 519.3934446308.

Adding to 140116536 its reverse (635611041), we get a palindrome (775727577).

The spelling of 140116536 in words is "one hundred forty million, one hundred sixteen thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 317 504 634 877 951 1268 1754 1902 2219 2536 2631 2853 3508 3804 4438 5262 5706 6139 6657 7016 7608 7893 8876 10524 11412 12278 13314 15786 17752 18417 19971 21048 22824 24556 26628 31572 36834 39942 49112 53256 55251 63144 73668 79884 110502 147336 159768 221004 278009 442008 556018 834027 1112036 1668054 1946063 2224072 2502081 3336108 3892126 5004162 5838189 6672216 7784252 10008324 11676378 15568504 17514567 20016648 23352756 35029134 46705512 70058268 140116536