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1200140240 = 245135919559
BaseRepresentation
bin100011110001000…
…1010111111010000
310002122021102220112
41013202022333100
54424213441430
6315031100452
741512011065
oct10742127720
93078242815
101200140240
115664a2142
12295b11728
13161843270
14b5568c6c
1570567195
hex4788afd0

1200140240 has 80 divisors (see below), whose sum is σ = 3056054400. Its totient is φ = 435595776.

The previous prime is 1200140237. The next prime is 1200140269. The reversal of 1200140240 is 420410021.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51581 + ... + 71139.

It is an arithmetic number, because the mean of its divisors is an integer number (38200680).

Almost surely, 21200140240 is an apocalyptic number.

1200140240 is a gapful number since it is divisible by the number (10) 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 1200140240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1528027200).

1200140240 is an abundant number, since it is smaller than the sum of its proper divisors (1855914160).

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

1200140240 is a wasteful number, since it uses less digits than its factorization.

1200140240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19644 (or 19638 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 1200140240 is about 34643.0402822847. The cubic root of 1200140240 is about 1062.6999640250.

Adding to 1200140240 its reverse (420410021), we get a palindrome (1620550261).

The spelling of 1200140240 in words is "one billion, two hundred million, one hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 59 65 80 104 118 130 208 236 260 295 472 520 590 767 944 1040 1180 1534 2360 3068 3835 4720 6136 7670 12272 15340 19559 30680 39118 61360 78236 97795 156472 195590 254267 312944 391180 508534 782360 1017068 1153981 1271335 1564720 2034136 2307962 2542670 4068272 4615924 5085340 5769905 9231848 10170680 11539810 15001753 18463696 20341360 23079620 30003506 46159240 60007012 75008765 92318480 120014024 150017530 240028048 300035060 600070120 1200140240