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1314073620 = 223257300409
BaseRepresentation
bin100111001010011…
…0010110000010100
310101120122212010100
41032110302300110
510142400323440
6334221054100
744364304266
oct11624626024
93346585110
101314073620
1161483aa62
123080b7330
1317c324a72
14c6745b36
157a570230
hex4e532c14

1314073620 has 36 divisors (see below), whose sum is σ = 3986023860. Its totient is φ = 350419584.

The previous prime is 1314073591. The next prime is 1314073637. The reversal of 1314073620 is 263704131.

1314073620 is a `hidden beast` number, since 1 + 31 + 4 + 0 + 7 + 3 + 620 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 170145936 + 1143927684 = 13044^2 + 33822^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

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, 3650025 + ... + 3650384.

It is an arithmetic number, because the mean of its divisors is an integer number (110722885).

Almost surely, 21314073620 is an apocalyptic number.

1314073620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1314073620 is an abundant number, since it is smaller than the sum of its proper divisors (2671950240).

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

1314073620 is a wasteful number, since it uses less digits than its factorization.

1314073620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7300424 (or 7300419 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 1314073620 is about 36250.1533789859. The cubic root of 1314073620 is about 1095.3171783991.

Adding to 1314073620 its reverse (263704131), we get a palindrome (1577777751).

The spelling of 1314073620 in words is "one billion, three hundred fourteen million, seventy-three thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 7300409 14600818 21901227 29201636 36502045 43802454 65703681 73004090 87604908 109506135 131407362 146008180 219012270 262814724 328518405 438024540 657036810 1314073620