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1320083400 = 233522200139
BaseRepresentation
bin100111010101110…
…1101111111001000
310101222222011222210
41032223231333020
510200420132100
6334553545120
744466344436
oct11653557710
93358864883
101320083400
11618175219
1230a1151a0
1318064a34c
14c746bd56
157ad5ac50
hex4eaedfc8

1320083400 has 48 divisors (see below), whose sum is σ = 4092260400. Its totient is φ = 352022080.

The previous prime is 1320083381. The next prime is 1320083411. The reversal of 1320083400 is 43800231.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1099470 + ... + 1100669.

It is an arithmetic number, because the mean of its divisors is an integer number (85255425).

Almost surely, 21320083400 is an apocalyptic number.

1320083400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1320083400 is an abundant number, since it is smaller than the sum of its proper divisors (2772177000).

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

1320083400 is a wasteful number, since it uses less digits than its factorization.

1320083400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2200158 (or 2200149 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1320083400 is about 36332.9519857663. The cubic root of 1320083400 is about 1096.9844126700.

Adding to 1320083400 its reverse (43800231), we get a palindrome (1363883631).

The spelling of 1320083400 in words is "one billion, three hundred twenty million, eighty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 2200139 4400278 6600417 8800556 11000695 13200834 17601112 22001390 26401668 33002085 44002780 52803336 55003475 66004170 88005560 110006950 132008340 165010425 220013900 264016680 330020850 440027800 660041700 1320083400