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1320045040 = 24573322511
BaseRepresentation
bin100111010101110…
…0100100111110000
310101222220020101001
41032223210213300
510200412420130
6334553051344
744466124546
oct11653444760
93358806331
101320045040
11618149416
1230a0b6b54
13180635a52
14c745bd96
157ad4e6ca
hex4eae49f0

1320045040 has 40 divisors (see below), whose sum is σ = 3073428288. Its totient is φ = 527274240.

The previous prime is 1320045037. The next prime is 1320045043. The reversal of 1320045040 is 405400231.

It is an interprime number because it is at equal distance from previous prime (1320045037) and next prime (1320045043).

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

It is a junction number, because it is equal to n+sod(n) for n = 1320044999 and 1320045017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320045043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47385 + ... + 69895.

Almost surely, 21320045040 is an apocalyptic number.

1320045040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1320045040 is an abundant number, since it is smaller than the sum of its proper divisors (1753383248).

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

1320045040 is a wasteful number, since it uses less digits than its factorization.

1320045040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23257 (or 23251 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 1320045040 is about 36332.4240864823. The cubic root of 1320045040 is about 1096.9737868945.

Adding to 1320045040 its reverse (405400231), we get a palindrome (1725445271).

The spelling of 1320045040 in words is "one billion, three hundred twenty million, forty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 733 1466 2932 3665 5864 7330 11728 14660 22511 29320 45022 58640 90044 112555 180088 225110 360176 450220 900440 1800880 16500563 33001126 66002252 82502815 132004504 165005630 264009008 330011260 660022520 1320045040