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480106965 = 35132462087
BaseRepresentation
bin11100100111011…
…101100111010101
31020110101221221110
4130213131213111
51440401410330
6115350205233
714616561522
oct3447354725
91213357843
10480106965
1122700a518
12114953819
137860b580
1447a98149
152c238db0
hex1c9dd9d5

480106965 has 16 divisors (see below), whose sum is σ = 827261568. Its totient is φ = 236360256.

The previous prime is 480106933. The next prime is 480106987. The reversal of 480106965 is 569601084.

It is not a de Polignac number, because 480106965 - 25 = 480106933 is a prime.

It is a super-2 number, since 2×4801069652 = 461005395683022450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1230849 + ... + 1231238.

It is an arithmetic number, because the mean of its divisors is an integer number (51703848).

Almost surely, 2480106965 is an apocalyptic number.

It is an amenable number.

480106965 is a deficient number, since it is larger than the sum of its proper divisors (347154603).

480106965 is a wasteful number, since it uses less digits than its factorization.

480106965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2462108.

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 480106965 is about 21911.3432951976. The cubic root of 480106965 is about 783.0316841665.

The spelling of 480106965 in words is "four hundred eighty million, one hundred six thousand, nine hundred sixty-five".

Divisors: 1 3 5 13 15 39 65 195 2462087 7386261 12310435 32007131 36931305 96021393 160035655 480106965