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1002413140 = 225232777867
BaseRepresentation
bin111011101111111…
…001110001010100
32120212012212022121
4323233321301110
54023104210030
6243245105324
733561241201
oct7357716124
92525185277
101002413140
11474921913
1223b858244
1312c8a3691
14971b8ca8
155d00b47a
hex3bbf9c54

1002413140 has 48 divisors (see below), whose sum is σ = 2204802432. Its totient is φ = 382098816.

The previous prime is 1002413131. The next prime is 1002413171. The reversal of 1002413140 is 413142001.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 123487 + ... + 131353.

It is an arithmetic number, because the mean of its divisors is an integer number (45933384).

Almost surely, 21002413140 is an apocalyptic number.

1002413140 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 1002413140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1102401216).

1002413140 is an abundant number, since it is smaller than the sum of its proper divisors (1202389292).

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

1002413140 is a wasteful number, since it uses less digits than its factorization.

1002413140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8176 (or 8174 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1002413140 is about 31660.9087045840. The cubic root of 1002413140 is about 1000.8037338388.

Adding to 1002413140 its reverse (413142001), we get a palindrome (1415555141).

The spelling of 1002413140 in words is "one billion, two million, four hundred thirteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 277 460 554 1108 1385 2770 5540 6371 7867 12742 15734 25484 31468 31855 39335 63710 78670 127420 157340 180941 361882 723764 904705 1809410 2179159 3618820 4358318 8716636 10895795 21791590 43583180 50120657 100241314 200482628 250603285 501206570 1002413140