Search a number
-
+
45303020 = 22571512143
BaseRepresentation
bin1010110011010…
…0010011101100
310011020122001122
42230310103230
543044144040
64255000112
71060032530
oct254642354
9104218048
1045303020
1123632914
1213209038
139502529
146033bc0
153e9d1b5
hex2b344ec

45303020 has 48 divisors (see below), whose sum is σ = 109498368. Its totient is φ = 15422400.

The previous prime is 45303001. The next prime is 45303029. The reversal of 45303020 is 2030354.

45303020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×453030202 = 4104727242240800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 45303020.

It is not an unprimeable number, because it can be changed into a prime (45303029) 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 15 ways as a sum of consecutive naturals, for example, 20069 + ... + 22211.

It is an arithmetic number, because the mean of its divisors is an integer number (2281216).

Almost surely, 245303020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45303020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54749184).

45303020 is an abundant number, since it is smaller than the sum of its proper divisors (64195348).

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

45303020 is a wasteful number, since it uses less digits than its factorization.

45303020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2310 (or 2308 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 17.

The square root of 45303020 is about 6730.7518153621. The cubic root of 45303020 is about 356.4859227269.

Adding to 45303020 its reverse (2030354), we get a palindrome (47333374).

The spelling of 45303020 in words is "forty-five million, three hundred three thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 151 302 604 755 1057 1510 2114 2143 3020 4228 4286 5285 8572 10570 10715 15001 21140 21430 30002 42860 60004 75005 150010 300020 323593 647186 1294372 1617965 2265151 3235930 4530302 6471860 9060604 11325755 22651510 45303020