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3131200240 = 245712744027
BaseRepresentation
bin1011101010100010…
…0101001011110000
322002012220110020021
42322220211023300
522403041401430
61234412253224
7140410522450
oct27250451360
98065813207
103131200240
1113675320a3
12734771214
133ab93040c
14219bd9d60
15134d5d07a
hexbaa252f0

3131200240 has 80 divisors (see below), whose sum is σ = 8385748992. Its totient is φ = 1065076992.

The previous prime is 3131200231. The next prime is 3131200253. The reversal of 3131200240 is 420021313.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 49107 + ... + 93133.

Almost surely, 23131200240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3131200240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4192874496).

3131200240 is an abundant number, since it is smaller than the sum of its proper divisors (5254548752).

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

3131200240 is a wasteful number, since it uses less digits than its factorization.

3131200240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44174 (or 44168 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 3131200240 is about 55957.1285896623. The cubic root of 3131200240 is about 1462.9751429603.

Adding to 3131200240 its reverse (420021313), we get a palindrome (3551221553).

The spelling of 3131200240 in words is "three billion, one hundred thirty-one million, two hundred thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 127 140 254 280 508 560 635 889 1016 1270 1778 2032 2540 3556 4445 5080 7112 8890 10160 14224 17780 35560 44027 71120 88054 176108 220135 308189 352216 440270 616378 704432 880540 1232756 1540945 1761080 2465512 3081890 3522160 4931024 5591429 6163780 11182858 12327560 22365716 24655120 27957145 39140003 44731432 55914290 78280006 89462864 111828580 156560012 195700015 223657160 313120024 391400030 447314320 626240048 782800060 1565600120 3131200240