Search a number
-
+
15360000000 = 216357
BaseRepresentation
bin11100100111000011…
…10000000000000000
31110122110112211211220
432103201300000000
5222424130000000
611020054035040
71052430563052
oct162341600000
943573484756
1015360000000
116572357384
122b88048a80
1315aa2c3ac7
14a59d758d2
155ed7261a0
hex393870000

15360000000 has 272 divisors, whose sum is σ = 51199478304. Its totient is φ = 4096000000.

The previous prime is 15359999999. The next prime is 15360000011. The reversal of 15360000000 is 6351.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3071999998 + ... + 3072000002.

Almost surely, 215360000000 is an apocalyptic number.

15360000000 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 15360000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25599739152).

15360000000 is an abundant number, since it is smaller than the sum of its proper divisors (35839478304).

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

15360000000 is an frugal number, since it uses more digits than its factorization.

15360000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

Multiplying 15360000000 by its sum of digits (15), we get a square (230400000000 = 4800002).

15360000000 divided by its sum of digits (15) gives a square (1024000000 = 320002).

Adding to 15360000000 its reverse (6351), we get a palindrome (15360006351).

The spelling of 15360000000 in words is "fifteen billion, three hundred sixty million", and thus it is an aban number.