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1016942080 = 2957211267
BaseRepresentation
bin111100100111010…
…100111000000000
32121212120000021111
4330213110320000
54040314121310
6244524333104
734125602500
oct7447247000
92555500244
101016942080
11482045700
122446a4194
131328bc79b
14990bba00
155e42b28a
hex3c9d4e00

1016942080 has 360 divisors, whose sum is σ = 3164188104. Its totient is φ = 312238080.

The previous prime is 1016942063. The next prime is 1016942081. The reversal of 1016942080 is 802496101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1016942081) 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 35 ways as a sum of consecutive naturals, for example, 15178207 + ... + 15178273.

Almost surely, 21016942080 is an apocalyptic number.

1016942080 is a gapful number since it is divisible by the number (10) 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 1016942080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1582094052).

1016942080 is an abundant number, since it is smaller than the sum of its proper divisors (2147246024).

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

1016942080 is an equidigital number, since it uses as much as digits as its factorization.

1016942080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 1016942080 is about 31889.5293160623. The cubic root of 1016942080 is about 1005.6157641585.

The spelling of 1016942080 in words is "one billion, sixteen million, nine hundred forty-two thousand, eighty".