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45531120 = 2435189713
BaseRepresentation
bin1010110110101…
…1111111110000
310011200012221210
42231223333300
543123443440
64303520120
71062002535
oct255537760
9104605853
1045531120
1123779228
12132b9040
1395822bb
146092d8c
153ee5a80
hex2b6bff0

45531120 has 40 divisors (see below), whose sum is σ = 141147216. Its totient is φ = 12141568.

The previous prime is 45531119. The next prime is 45531139. The reversal of 45531120 is 2113554.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94617 + ... + 95096.

Almost surely, 245531120 is an apocalyptic number.

45531120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45531120 is an abundant number, since it is smaller than the sum of its proper divisors (95616096).

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

45531120 is a wasteful number, since it uses less digits than its factorization.

45531120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189729 (or 189723 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 45531120 is about 6747.6751551923. The cubic root of 45531120 is about 357.0832217379.

Adding to 45531120 its reverse (2113554), we get a palindrome (47644674).

The spelling of 45531120 in words is "forty-five million, five hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 189713 379426 569139 758852 948565 1138278 1517704 1897130 2276556 2845695 3035408 3794260 4553112 5691390 7588520 9106224 11382780 15177040 22765560 45531120