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1087986816 = 2735719263
BaseRepresentation
bin100000011011001…
…0101110010000000
32210211020110100000
41000312111302000
54212011034231
6255543200000
735650510140
oct10066256200
92724213300
101087986816
1150915a664
12264446000
131445359a7
14a46d2920
15657b16e6
hex40d95c80

1087986816 has 384 divisors, whose sum is σ = 3920716800. Its totient is φ = 293372928.

The previous prime is 1087986811. The next prime is 1087986821. The reversal of 1087986816 is 6186897801.

It is an interprime number because it is at equal distance from previous prime (1087986811) and next prime (1087986821).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1087986811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4136701 + ... + 4136963.

It is an arithmetic number, because the mean of its divisors is an integer number (10210200).

Almost surely, 21087986816 is an apocalyptic number.

1087986816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1087986816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1960358400).

1087986816 is an abundant number, since it is smaller than the sum of its proper divisors (2832729984).

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

1087986816 is an equidigital number, since it uses as much as digits as its factorization.

1087986816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The square root of 1087986816 is about 32984.6451549808. The cubic root of 1087986816 is about 1028.5084818621.

The spelling of 1087986816 in words is "one billion, eighty-seven million, nine hundred eighty-six thousand, eight hundred sixteen".