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1395621216 = 253211440537
BaseRepresentation
bin101001100101111…
…0111110101100000
310121021002220101200
41103023313311200
510324234334331
6350253001200
746404404343
oct12313676540
93537086350
101395621216
11656878970
1232b483200
131931a7692
14d34d245a
15827cc5e6
hex532f7d60

1395621216 has 72 divisors (see below), whose sum is σ = 4329607464. Its totient is φ = 422914560.

The previous prime is 1395621211. The next prime is 1395621233. The reversal of 1395621216 is 6121265931.

1395621216 is a `hidden beast` number, since 1 + 3 + 9 + 5 + 621 + 21 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1395621211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 217101 + ... + 223436.

It is an arithmetic number, because the mean of its divisors is an integer number (60133437).

Almost surely, 21395621216 is an apocalyptic number.

1395621216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1395621216 is an abundant number, since it is smaller than the sum of its proper divisors (2933986248).

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

1395621216 is a wasteful number, since it uses less digits than its factorization.

1395621216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440564 (or 440553 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 1395621216 is about 37358.0140799802. The cubic root of 1395621216 is about 1117.5214151415.

The spelling of 1395621216 in words is "one billion, three hundred ninety-five million, six hundred twenty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 440537 881074 1321611 1762148 2643222 3524296 3964833 4845907 5286444 7048592 7929666 9691814 10572888 14097184 14537721 15859332 19383628 21145776 29075442 31718664 38767256 42291552 43613163 58150884 63437328 77534512 87226326 116301768 126874656 155069024 174452652 232603536 348905304 465207072 697810608 1395621216