Search a number
-
+
15135500140 = 2253124119207
BaseRepresentation
bin11100001100010010…
…10110011101101100
31110001211010001221021
432012021112131230
5221444142001030
610541514143524
71044033425365
oct160611263554
943054101837
1015135500140
116467660302
122b24a21ba4
13157293c157
14a38216b6c
155d8b7c97a
hex38625676c

15135500140 has 72 divisors (see below), whose sum is σ = 33645731616. Its totient is φ = 5715705600.

The previous prime is 15135500119. The next prime is 15135500141. The reversal of 15135500140 is 4100553151.

It is a happy number.

15135500140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (15135500141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 778417 + ... + 797623.

It is an arithmetic number, because the mean of its divisors is an integer number (467301828).

Almost surely, 215135500140 is an apocalyptic number.

15135500140 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 15135500140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16822865808).

15135500140 is an abundant number, since it is smaller than the sum of its proper divisors (18510231476).

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

15135500140 is a wasteful number, since it uses less digits than its factorization.

15135500140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19319 (or 19286 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 25.

The spelling of 15135500140 in words is "fifteen billion, one hundred thirty-five million, five hundred thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 31 41 62 82 124 155 164 205 310 410 620 820 961 1271 1922 2542 3844 4805 5084 6355 9610 12710 19207 19220 25420 38414 39401 76828 78802 96035 157604 192070 197005 384140 394010 595417 787487 788020 1190834 1574974 2381668 2977085 3149948 3937435 5954170 7874870 11908340 15749740 18457927 24412097 36915854 48824194 73831708 92289635 97648388 122060485 184579270 244120970 369158540 488241940 756775007 1513550014 3027100028 3783875035 7567750070 15135500140