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45103320 = 23325125287
BaseRepresentation
bin1010110000001…
…1100011011000
310010212111010100
42230003203120
543021301240
64250415400
71055241363
oct254034330
9103774110
1045103320
1123506879
1213131560
139462672
145dc10da
153e5de30
hex2b038d8

45103320 has 48 divisors (see below), whose sum is σ = 146586960. Its totient is φ = 12027456.

The previous prime is 45103307. The next prime is 45103337. The reversal of 45103320 is 2330154.

It is a super-3 number, since 3×451033203 (a number of 24 digits) contains 333 as substring.

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 = 45103293 and 45103302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62284 + ... + 63003.

It is an arithmetic number, because the mean of its divisors is an integer number (3053895).

Almost surely, 245103320 is an apocalyptic number.

45103320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45103320 is an abundant number, since it is smaller than the sum of its proper divisors (101483640).

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

45103320 is a wasteful number, since it uses less digits than its factorization.

45103320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125304 (or 125297 counting only the distinct ones).

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

The square root of 45103320 is about 6715.9005352968. The cubic root of 45103320 is about 355.9613432755.

Adding to 45103320 its reverse (2330154), we get a palindrome (47433474).

The spelling of 45103320 in words is "forty-five million, one hundred three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 125287 250574 375861 501148 626435 751722 1002296 1127583 1252870 1503444 1879305 2255166 2505740 3006888 3758610 4510332 5011480 5637915 7517220 9020664 11275830 15034440 22551660 45103320