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31383120 = 2435433041
BaseRepresentation
bin111011110110…
…1111001010000
32012001102112210
41313231321100
531013224440
63040352120
7530515656
oct167557120
965042483
1031383120
111679566a
12a615640
13666a6c2
14424cdd6
152b4da80
hex1dede50

31383120 has 80 divisors (see below), whose sum is σ = 99582912. Its totient is φ = 8171520.

The previous prime is 31383083. The next prime is 31383161. The reversal of 31383120 is 2138313.

It is a happy number.

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, 8800 + ... + 11840.

Almost surely, 231383120 is an apocalyptic number.

31383120 is a gapful number since it is divisible by the number (30) 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 31383120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49791456).

31383120 is an abundant number, since it is smaller than the sum of its proper divisors (68199792).

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

31383120 is a wasteful number, since it uses less digits than its factorization.

31383120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3100 (or 3094 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 31383120 is about 5602.0639053834. The cubic root of 31383120 is about 315.4268840677.

The spelling of 31383120 in words is "thirty-one million, three hundred eighty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 120 129 172 215 240 258 344 430 516 645 688 860 1032 1290 1720 2064 2580 3041 3440 5160 6082 9123 10320 12164 15205 18246 24328 30410 36492 45615 48656 60820 72984 91230 121640 130763 145968 182460 243280 261526 364920 392289 523052 653815 729840 784578 1046104 1307630 1569156 1961445 2092208 2615260 3138312 3922890 5230520 6276624 7845780 10461040 15691560 31383120