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2045531020 = 2251315750111
BaseRepresentation
bin111100111101100…
…0101001110001100
312021120000202001011
41321323011032030
513142123443040
6534550455004
7101455504201
oct17173051614
95246022034
102045531020
1195a715805
12491064464
13267a295b0
1415594bca8
15be8a83ea
hex79ec538c

2045531020 has 48 divisors (see below), whose sum is σ = 4655605248. Its totient is φ = 750447360.

The previous prime is 2045531017. The next prime is 2045531021. The reversal of 2045531020 is 201355402.

It is a junction number, because it is equal to n+sod(n) for n = 2045530982 and 2045531000.

It is not an unprimeable number, because it can be changed into a prime (2045531021) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 15765 + ... + 65875.

It is an arithmetic number, because the mean of its divisors is an integer number (96991776).

Almost surely, 22045531020 is an apocalyptic number.

2045531020 is a gapful number since it is divisible by the number (20) 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 2045531020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2327802624).

2045531020 is an abundant number, since it is smaller than the sum of its proper divisors (2610074228).

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

2045531020 is a wasteful number, since it uses less digits than its factorization.

2045531020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50290 (or 50288 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 2045531020 is about 45227.5471366732. The cubic root of 2045531020 is about 1269.4103158625.

Adding to 2045531020 its reverse (201355402), we get a palindrome (2246886422).

The spelling of 2045531020 in words is "two billion, forty-five million, five hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 157 260 314 628 785 1570 2041 3140 4082 8164 10205 20410 40820 50111 100222 200444 250555 501110 651443 1002220 1302886 2605772 3257215 6514430 7867427 13028860 15734854 31469708 39337135 78674270 102276551 157348540 204553102 409106204 511382755 1022765510 2045531020