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45013320 = 2335511421
BaseRepresentation
bin1010101110110…
…1100101001000
310010200220200000
42223231211020
543010411240
64244443000
71054415112
oct253554510
9103626600
1045013320
11234551a0
12130a9460
139430701
145d9a3b2
153e42430
hex2aed948

45013320 has 192 divisors, whose sum is σ = 165896640. Its totient is φ = 10886400.

The previous prime is 45013301. The next prime is 45013327. The reversal of 45013320 is 2331054.

45013320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 45013293 and 45013302.

It is not an unprimeable number, because it can be changed into a prime (45013327) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 106710 + ... + 107130.

It is an arithmetic number, because the mean of its divisors is an integer number (864045).

Almost surely, 245013320 is an apocalyptic number.

45013320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45013320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82948320).

45013320 is an abundant number, since it is smaller than the sum of its proper divisors (120883320).

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

45013320 is a wasteful number, since it uses less digits than its factorization.

45013320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 45013320 is about 6709.1966732240. The cubic root of 45013320 is about 355.7244216675.

Adding to 45013320 its reverse (2331054), we get a palindrome (47344374).

The spelling of 45013320 in words is "forty-five million, thirteen thousand, three hundred twenty".