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1005383140 = 225411226077
BaseRepresentation
bin111011111011001…
…110110111100100
32121001210202101121
4323323032313210
54024334230030
6243432503324
733625421116
oct7373166744
92531722347
101005383140
11476570263
1224084ab44
131303a3488
149774d3b6
155d3e647a
hex3becede4

1005383140 has 24 divisors (see below), whose sum is σ = 2162801592. Its totient is φ = 392344320.

The previous prime is 1005383101. The next prime is 1005383161. The reversal of 1005383140 is 413835001.

It can be written as a sum of positive squares in 4 ways, for example, as 75377124 + 930006016 = 8682^2 + 30496^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 612219 + ... + 613858.

It is an arithmetic number, because the mean of its divisors is an integer number (90116733).

Almost surely, 21005383140 is an apocalyptic number.

1005383140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005383140 is an abundant number, since it is smaller than the sum of its proper divisors (1157418452).

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

1005383140 is a wasteful number, since it uses less digits than its factorization.

1005383140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1226127 (or 1226125 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 1005383140 is about 31707.7772793995. Note that the first 3 decimals coincide. The cubic root of 1005383140 is about 1001.7911697952.

The spelling of 1005383140 in words is "one billion, five million, three hundred eighty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 1226077 2452154 4904308 6130385 12260770 24521540 50269157 100538314 201076628 251345785 502691570 1005383140