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1249085940 = 223520818099
BaseRepresentation
bin100101001110011…
…1000100111110100
310020001101010210020
41022130320213310
510024231222230
6323540125140
742645024654
oct11234704764
93201333706
101249085940
11591092833
122aa3967b0
1316ba1c80b
14bbc6a364
15749d4810
hex4a7389f4

1249085940 has 24 divisors (see below), whose sum is σ = 3497440800. Its totient is φ = 333089568.

The previous prime is 1249085861. The next prime is 1249085953. The reversal of 1249085940 is 495809421.

1249085940 is digitally balanced in base 4 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1249085892 and 1249085901.

It is a congruent number.

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, 10408990 + ... + 10409109.

It is an arithmetic number, because the mean of its divisors is an integer number (145726700).

Almost surely, 21249085940 is an apocalyptic number.

1249085940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1249085940 is an abundant number, since it is smaller than the sum of its proper divisors (2248354860).

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

1249085940 is a wasteful number, since it uses less digits than its factorization.

1249085940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20818111 (or 20818109 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 1249085940 is about 35342.4099348078. The cubic root of 1249085940 is about 1076.9547099787.

The spelling of 1249085940 in words is "one billion, two hundred forty-nine million, eighty-five thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 20818099 41636198 62454297 83272396 104090495 124908594 208180990 249817188 312271485 416361980 624542970 1249085940