Search a number
-
+
15042051200 = 2752111014231
BaseRepresentation
bin11100000001001001…
…10111110010000000
31102211022021101002102
432000210313302000
5221301231114300
610524335205532
71041520216451
oct160044676200
942738241072
1015042051200
116419933780
122ab96768a8
131559480417
14a29a4d128
155d086e0d5
hex380937c80

15042051200 has 192 divisors, whose sum is σ = 40947647040. Its totient is φ = 5414400000.

The previous prime is 15042051187. The next prime is 15042051217. The reversal of 15042051200 is 215024051.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3553085 + ... + 3557315.

It is an arithmetic number, because the mean of its divisors is an integer number (213268995).

Almost surely, 215042051200 is an apocalyptic number.

15042051200 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 15042051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20473823520).

15042051200 is an abundant number, since it is smaller than the sum of its proper divisors (25905595840).

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

15042051200 is a wasteful number, since it uses less digits than its factorization.

15042051200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4367 (or 4350 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

Adding to 15042051200 its reverse (215024051), we get a palindrome (15257075251).

The spelling of 15042051200 in words is "fifteen billion, forty-two million, fifty-one thousand, two hundred".