Search a number
-
+
1427694480 = 243251982909
BaseRepresentation
bin101010100011000…
…1110001110010000
310200111110101122100
41111012032032100
510410442210410
6353400240400
750244126402
oct12506161620
93614411570
101427694480
11672994aa3
1233a170100
13199a27244
14d7880b72
15855158c0
hex5518e390

1427694480 has 60 divisors (see below), whose sum is σ = 4794676380. Its totient is φ = 380718336.

The previous prime is 1427694451. The next prime is 1427694509. The reversal of 1427694480 is 844967241.

1427694480 is a `hidden beast` number, since 14 + 2 + 76 + 94 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (1427694451) and next prime (1427694509).

It can be written as a sum of positive squares in 2 ways, for example, as 671224464 + 756470016 = 25908^2 + 27504^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 990735 + ... + 992174.

It is an arithmetic number, because the mean of its divisors is an integer number (79911273).

Almost surely, 21427694480 is an apocalyptic number.

1427694480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1427694480 is an abundant number, since it is smaller than the sum of its proper divisors (3366981900).

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

1427694480 is a wasteful number, since it uses less digits than its factorization.

1427694480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1982928 (or 1982919 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 1427694480 is about 37784.8445808634. The cubic root of 1427694480 is about 1126.0173789287.

The spelling of 1427694480 in words is "one billion, four hundred twenty-seven million, six hundred ninety-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1982909 3965818 5948727 7931636 9914545 11897454 15863272 17846181 19829090 23794908 29743635 31726544 35692362 39658180 47589816 59487270 71384724 79316360 89230905 95179632 118974540 142769448 158632720 178461810 237949080 285538896 356923620 475898160 713847240 1427694480