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1023879680 = 295399953
BaseRepresentation
bin111101000001110…
…010101000000000
32122100121110212122
4331001302220000
54044103122210
6245333143412
734241555645
oct7501625000
92570543778
101023879680
11485a53a5a
12246a8ab68
1313417b485
1499da5dcc
155ed4bb55
hex3d072a00

1023879680 has 40 divisors (see below), whose sum is σ = 2454917652. Its totient is φ = 409550848.

The previous prime is 1023879673. The next prime is 1023879697. The reversal of 1023879680 is 869783201.

It can be written as a sum of positive squares in 2 ways, for example, as 942735616 + 81144064 = 30704^2 + 9008^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 197417 + ... + 202536.

Almost surely, 21023879680 is an apocalyptic number.

1023879680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023879680 is an abundant number, since it is smaller than the sum of its proper divisors (1431037972).

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

1023879680 is an frugal number, since it uses more digits than its factorization.

1023879680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399976 (or 399960 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 44.

The square root of 1023879680 is about 31998.1199447718. The cubic root of 1023879680 is about 1007.8973608434.

The spelling of 1023879680 in words is "one billion, twenty-three million, eight hundred seventy-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 399953 799906 1599812 1999765 3199624 3999530 6399248 7999060 12798496 15998120 25596992 31996240 51193984 63992480 102387968 127984960 204775936 255969920 511939840 1023879680