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1427391460 = 2251161106363
BaseRepresentation
bin101010100010100…
…0100001111100100
310200110212222222101
41111011010033210
510410403011320
6353345541444
750241425065
oct12505041744
93613788871
101427391460
116727a8370
1233a044884
1319994c341
14d780256c
15854a5c0a
hex551443e4

1427391460 has 48 divisors (see below), whose sum is σ = 3323662272. Its totient is φ = 510537600.

The previous prime is 1427391443. The next prime is 1427391467. The reversal of 1427391460 is 641937241.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1427391467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39762 + ... + 66601.

It is an arithmetic number, because the mean of its divisors is an integer number (69242964).

Almost surely, 21427391460 is an apocalyptic number.

1427391460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1427391460 is an abundant number, since it is smaller than the sum of its proper divisors (1896270812).

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

1427391460 is a wasteful number, since it uses less digits than its factorization.

1427391460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106444 (or 106442 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 1427391460 is about 37780.8345593371. The cubic root of 1427391460 is about 1125.9377097059.

The spelling of 1427391460 in words is "one billion, four hundred twenty-seven million, three hundred ninety-one thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 61 110 122 220 244 305 610 671 1220 1342 2684 3355 6710 13420 106363 212726 425452 531815 1063630 1169993 2127260 2339986 4679972 5849965 6488143 11699930 12976286 23399860 25952572 32440715 64881430 71369573 129762860 142739146 285478292 356847865 713695730 1427391460