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1003140420 = 2235175979211
BaseRepresentation
bin111011110010101…
…011010101000100
32120220120210221220
4323302223111010
54023300443140
6243312440340
733600360432
oct7362532504
92526523856
101003140420
11475279277
1223bb490b0
1312ca99719
1497327d52
155d101bd0
hex3bcab544

1003140420 has 192 divisors, whose sum is σ = 3077222400. Its totient is φ = 243210240.

The previous prime is 1003140419. The next prime is 1003140427. The reversal of 1003140420 is 240413001.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1003140420.

It is not an unprimeable number, because it can be changed into a prime (1003140427) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4754115 + ... + 4754325.

It is an arithmetic number, because the mean of its divisors is an integer number (16027200).

Almost surely, 21003140420 is an apocalyptic number.

1003140420 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 1003140420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538611200).

1003140420 is an abundant number, since it is smaller than the sum of its proper divisors (2074081980).

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

1003140420 is a wasteful number, since it uses less digits than its factorization.

1003140420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1003140420 is about 31672.3920789068. The cubic root of 1003140420 is about 1001.0457127703.

Adding to 1003140420 its reverse (240413001), we get a palindrome (1243553421).

The spelling of 1003140420 in words is "one billion, three million, one hundred forty thousand, four hundred twenty".