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480135623 = 1131811993
BaseRepresentation
bin11100100111100…
…100100111000111
31020110110102020212
4130213210213013
51440403314443
6115350550035
714620041212
oct3447444707
91213412225
10480135623
1122702a000
1211496831b
137861b626
1447aa4779
152c242618
hex1c9e49c7

480135623 has 16 divisors (see below), whose sum is σ = 531297312. Its totient is φ = 433857600.

The previous prime is 480135611. The next prime is 480135631. The reversal of 480135623 is 326531084.

It is not a de Polignac number, because 480135623 - 26 = 480135559 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 480135623.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480135653) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 239915 + ... + 241907.

It is an arithmetic number, because the mean of its divisors is an integer number (33206082).

Almost surely, 2480135623 is an apocalyptic number.

480135623 is a deficient number, since it is larger than the sum of its proper divisors (51161689).

480135623 is a wasteful number, since it uses less digits than its factorization.

480135623 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2207 (or 2185 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 480135623 is about 21911.9972389556. The cubic root of 480135623 is about 783.0472638027.

The spelling of 480135623 in words is "four hundred eighty million, one hundred thirty-five thousand, six hundred twenty-three".

Divisors: 1 11 121 181 1331 1991 1993 21901 21923 240911 241153 360733 2652683 3968063 43648693 480135623