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1013903280 = 2432513149727
BaseRepresentation
bin111100011011101…
…110111110110000
32121122211121211100
4330123232332300
54034024401110
6244335244400
734061015145
oct7433567660
92548747740
101013903280
1148035a5a5
12243679700
13132097590
149892a3cc
155e02abc0
hex3c6eefb0

1013903280 has 240 divisors, whose sum is σ = 3696638400. Its totient is φ = 247560192.

The previous prime is 1013903269. The next prime is 1013903287. The reversal of 1013903280 is 823093101.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×10139032802 = 2055999722389516800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1013903287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1394277 + ... + 1395003.

It is an arithmetic number, because the mean of its divisors is an integer number (15402660).

Almost surely, 21013903280 is an apocalyptic number.

1013903280 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 1013903280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1848319200).

1013903280 is an abundant number, since it is smaller than the sum of its proper divisors (2682735120).

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

1013903280 is a wasteful number, since it uses less digits than its factorization.

1013903280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1013903280 is about 31841.8479363243. The cubic root of 1013903280 is about 1004.6131131303.

Adding to 1013903280 its reverse (823093101), we get a palindrome (1836996381).

The spelling of 1013903280 in words is "one billion, thirteen million, nine hundred three thousand, two hundred eighty".