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1427246360 = 23573975039
BaseRepresentation
bin101010100010010…
…0000110100011000
310200110121121221022
41111010200310120
510410333340420
6353342502012
750240252051
oct12504406430
93613547838
101427246360
11672709351
12339b94908
131998cb297
14d77a5728
1585477c25
hex55120d18

1427246360 has 64 divisors (see below), whose sum is σ = 3289507200. Its totient is φ = 557162496.

The previous prime is 1427246309. The next prime is 1427246369. The reversal of 1427246360 is 636427241.

It is a self number, because there is not a number n which added to its sum of digits gives 1427246360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1427246369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 280721 + ... + 285759.

It is an arithmetic number, because the mean of its divisors is an integer number (51398550).

Almost surely, 21427246360 is an apocalyptic number.

1427246360 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 1427246360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1644753600).

1427246360 is an abundant number, since it is smaller than the sum of its proper divisors (1862260840).

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

1427246360 is a wasteful number, since it uses less digits than its factorization.

1427246360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5220 (or 5216 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

The square root of 1427246360 is about 37778.9142247365. The cubic root of 1427246360 is about 1125.8995564026.

The spelling of 1427246360 in words is "one billion, four hundred twenty-seven million, two hundred forty-six thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 73 97 146 194 292 365 388 485 584 730 776 970 1460 1940 2920 3880 5039 7081 10078 14162 20156 25195 28324 35405 40312 50390 56648 70810 100780 141620 201560 283240 367847 488783 735694 977566 1471388 1839235 1955132 2443915 2942776 3678470 3910264 4887830 7356940 9775660 14713880 19551320 35681159 71362318 142724636 178405795 285449272 356811590 713623180 1427246360