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1078684992 = 2633711367
BaseRepresentation
bin100000001001011…
…0110110101000000
32210011201212122000
41000102312311000
54202120404432
6255011544000
735505446130
oct10022666500
92704655560
101078684992
11503987000
122612bb000
13142629b58
14a3390ac0
1564a7557c
hex404b6d40

1078684992 has 448 divisors, whose sum is σ = 4045793280. Its totient is φ = 275996160.

The previous prime is 1078684987. The next prime is 1078684993. The reversal of 1078684992 is 2994868701.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×10786849922 = 2327122623932080128, which contains 22 as substring.

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 (1078684993) 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 63 ways as a sum of consecutive naturals, for example, 16099743 + ... + 16099809.

Almost surely, 21078684992 is an apocalyptic number.

1078684992 is a gapful number since it is divisible by the number (12) 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 1078684992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2022896640).

1078684992 is an abundant number, since it is smaller than the sum of its proper divisors (2967108288).

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

1078684992 is an equidigital number, since it uses as much as digits as its factorization.

1078684992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The square root of 1078684992 is about 32843.3401468243. The cubic root of 1078684992 is about 1025.5689855408.

The spelling of 1078684992 in words is "one billion, seventy-eight million, six hundred eighty-four thousand, nine hundred ninety-two".