Search a number
-
+
15203030400 = 273352175961
BaseRepresentation
bin11100010100010101…
…11101010110000000
31110020112011222001000
432022022331112000
5222113433433100
610552325412000
71045513424535
oct161212752600
943215158030
1015203030400
1164a1794838
122b4356a000
13158392479c
14a43194d8c
155dea6b900
hex38a2bd580

15203030400 has 192 divisors, whose sum is σ = 55639184400. Its totient is φ = 4054118400.

The previous prime is 15203030393. The next prime is 15203030413. The reversal of 15203030400 is 403030251.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×152030304002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1581 + ... + 174380.

Almost surely, 215203030400 is an apocalyptic number.

15203030400 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 15203030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27819592200).

15203030400 is an abundant number, since it is smaller than the sum of its proper divisors (40436154000).

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

15203030400 is a wasteful number, since it uses less digits than its factorization.

15203030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175994 (or 175971 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

Adding to 15203030400 its reverse (403030251), we get a palindrome (15606060651).

The spelling of 15203030400 in words is "fifteen billion, two hundred three million, thirty thousand, four hundred".