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1320042440 = 23561541001
BaseRepresentation
bin100111010101110…
…0011111111001000
310101222220002210202
41032223203333020
510200412324230
6334553031332
744466114143
oct11653437710
93358802722
101320042440
11618147472
1230a0b5548
13180634802
14c745b05a
157ad4da45
hex4eae3fc8

1320042440 has 32 divisors (see below), whose sum is σ = 3018791160. Its totient is φ = 519360000.

The previous prime is 1320042439. The next prime is 1320042443. The reversal of 1320042440 is 442400231.

It can be written as a sum of positive squares in 4 ways, for example, as 968329924 + 351712516 = 31118^2 + 18754^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1320042443) 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, 268061 + ... + 272940.

Almost surely, 21320042440 is an apocalyptic number.

1320042440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1320042440 is an abundant number, since it is smaller than the sum of its proper divisors (1698748720).

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

1320042440 is a wasteful number, since it uses less digits than its factorization.

1320042440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541073 (or 541069 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 1320042440 is about 36332.3883057528. The cubic root of 1320042440 is about 1096.9730666833.

Adding to 1320042440 its reverse (442400231), we get a palindrome (1762442671).

The spelling of 1320042440 in words is "one billion, three hundred twenty million, forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 610 1220 2440 541001 1082002 2164004 2705005 4328008 5410010 10820020 21640040 33001061 66002122 132004244 165005305 264008488 330010610 660021220 1320042440