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1330727472 = 243219486377
BaseRepresentation
bin100111101010001…
…0100101000110000
310102201222221220200
41033110110220300
510211131234342
6340014035200
744655665634
oct11724245060
93381887820
101330727472
11623185278
123117a8b00
13182906109
14c8a3cdc4
157bc5e94c
hex4f514a30

1330727472 has 60 divisors (see below), whose sum is σ = 3920206680. Its totient is φ = 420228864.

The previous prime is 1330727471. The next prime is 1330727501. The reversal of 1330727472 is 2747270331.

It is a happy number.

1330727472 is a `hidden beast` number, since 13 + 307 + 274 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1330727471) 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 11 ways as a sum of consecutive naturals, for example, 240453 + ... + 245924.

It is an arithmetic number, because the mean of its divisors is an integer number (65336778).

Almost surely, 21330727472 is an apocalyptic number.

1330727472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1330727472 is an abundant number, since it is smaller than the sum of its proper divisors (2589479208).

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

1330727472 is a wasteful number, since it uses less digits than its factorization.

1330727472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486410 (or 486401 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The square root of 1330727472 is about 36479.1374898037. The cubic root of 1330727472 is about 1099.9249182913.

The spelling of 1330727472 in words is "one billion, three hundred thirty million, seven hundred twenty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2736 486377 972754 1459131 1945508 2918262 3891016 4377393 5836524 7782032 8754786 9241163 11673048 17509572 18482326 23346096 27723489 35019144 36964652 55446978 70038288 73929304 83170467 110893956 147858608 166340934 221787912 332681868 443575824 665363736 1330727472