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1290900768 = 25313446883
BaseRepresentation
bin100110011110001…
…1001010100100000
310022222001112221120
41030330121110200
510120432311033
6332032252240
743663322043
oct11474312440
93288045846
101290900768
11602752943
123003a1080
131775a0411
14c3632c5a
15784e41b3
hex4cf19520

1290900768 has 24 divisors (see below), whose sum is σ = 3388614768. Its totient is φ = 430300224.

The previous prime is 1290900757. The next prime is 1290900773. The reversal of 1290900768 is 8670090921.

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 6723346 + ... + 6723537.

It is an arithmetic number, because the mean of its divisors is an integer number (141192282).

Almost surely, 21290900768 is an apocalyptic number.

It is an amenable number.

1290900768 is an abundant number, since it is smaller than the sum of its proper divisors (2097714000).

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

1290900768 is a wasteful number, since it uses less digits than its factorization.

1290900768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13446896 (or 13446888 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 1290900768 is about 35929.1075313596. The cubic root of 1290900768 is about 1088.8405503523.

The spelling of 1290900768 in words is "one billion, two hundred ninety million, nine hundred thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 13446883 26893766 40340649 53787532 80681298 107575064 161362596 215150128 322725192 430300256 645450384 1290900768