Search a number
-
+
15230900340 = 2233529972599
BaseRepresentation
bin11100010111101010…
…10001100001110100
31110022110121220102000
432023311101201310
5222143102302330
610555203015300
71046302342155
oct161365214164
943273556360
1015230900340
11650649a947
122b5096a530
131589632086
14a46b6b92c
155e2224560
hex38bd51874

15230900340 has 96 divisors (see below), whose sum is σ = 49019040000. Its totient is φ = 3921515136.

The previous prime is 15230900339. The next prime is 15230900393. The reversal of 15230900340 is 4300903251.

15230900340 is a `hidden beast` number, since 1 + 5 + 230 + 90 + 0 + 340 = 666.

15230900340 is digitally balanced in base 2, because in such base 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 (27).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 470640 + ... + 501959.

It is an arithmetic number, because the mean of its divisors is an integer number (510615000).

Almost surely, 215230900340 is an apocalyptic number.

15230900340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15230900340 is an abundant number, since it is smaller than the sum of its proper divisors (33788139660).

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

15230900340 is a wasteful number, since it uses less digits than its factorization.

15230900340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972646 (or 972638 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The spelling of 15230900340 in words is "fifteen billion, two hundred thirty million, nine hundred thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 45 54 58 60 87 90 108 116 135 145 174 180 261 270 290 348 435 522 540 580 783 870 1044 1305 1566 1740 2610 3132 3915 5220 7830 15660 972599 1945198 2917797 3890396 4862995 5835594 8753391 9725990 11671188 14588985 17506782 19451980 26260173 28205371 29177970 35013564 43766955 52520346 56410742 58355940 84616113 87533910 105040692 112821484 131300865 141026855 169232226 175067820 253848339 262601730 282053710 338464452 423080565 507696678 525203460 564107420 761545017 846161130 1015393356 1269241695 1523090034 1692322260 2538483390 3046180068 3807725085 5076966780 7615450170 15230900340