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45460120 = 2353133631
BaseRepresentation
bin1010110101101…
…0101010011000
310011112121120011
42231122222120
543114210440
64302211304
71061255536
oct255325230
9104477504
1045460120
112372a952
1213283b34
139558ba4
146075156
153ece9ea
hex2b5aa98

45460120 has 32 divisors (see below), whose sum is σ = 102640320. Its totient is φ = 18120960.

The previous prime is 45460109. The next prime is 45460147. The reversal of 45460120 is 2106454.

45460120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 45460091 and 45460100.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 10705 + ... + 14335.

It is an arithmetic number, because the mean of its divisors is an integer number (3207510).

Almost surely, 245460120 is an apocalyptic number.

45460120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45460120 is an abundant number, since it is smaller than the sum of its proper divisors (57180200).

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

45460120 is a wasteful number, since it uses less digits than its factorization.

45460120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3955 (or 3951 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 45460120 is about 6742.4120313134. The cubic root of 45460120 is about 356.8975165295.

Adding to 45460120 its reverse (2106454), we get a palindrome (47566574).

The spelling of 45460120 in words is "forty-five million, four hundred sixty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 313 626 1252 1565 2504 3130 3631 6260 7262 12520 14524 18155 29048 36310 72620 145240 1136503 2273006 4546012 5682515 9092024 11365030 22730060 45460120