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1003403140 = 225193259949
BaseRepresentation
bin111011110011101…
…011011110000100
32120221002011100021
4323303223132010
54023332400030
6243322224524
733602533405
oct7363533604
92527064307
101003403140
114754386a3
12240055144
1312cb5c18c
14973959ac
155d15497a
hex3bceb784

1003403140 has 24 divisors (see below), whose sum is σ = 2118072600. Its totient is φ = 399280128.

The previous prime is 1003403119. The next prime is 1003403143. The reversal of 1003403140 is 413043001.

It can be written as a sum of positive squares in 4 ways, for example, as 100040004 + 903363136 = 10002^2 + 30056^2 .

It is a super-2 number, since 2×10034031402 = 2013635722723719200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1003403143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126115 + ... + 133834.

It is an arithmetic number, because the mean of its divisors is an integer number (88253025).

Almost surely, 21003403140 is an apocalyptic number.

1003403140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003403140 is an abundant number, since it is smaller than the sum of its proper divisors (1114669460).

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

1003403140 is a wasteful number, since it uses less digits than its factorization.

1003403140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260151 (or 260149 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1003403140 is about 31676.5392680450. The cubic root of 1003403140 is about 1001.1330956094.

Adding to 1003403140 its reverse (413043001), we get a palindrome (1416446141).

The spelling of 1003403140 in words is "one billion, three million, four hundred three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 193 386 772 965 1930 3860 259949 519898 1039796 1299745 2599490 5198980 50170157 100340314 200680628 250850785 501701570 1003403140