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3131240 = 235753211
BaseRepresentation
bin1011111100011101101000
312220002020212
423330131220
51300144430
6151040252
735420660
oct13743550
95802225
103131240
111849602
121070088
13858308
145b71a0
1541cb95
hex2fc768

3131240 has 64 divisors (see below), whose sum is σ = 8242560. Its totient is φ = 1048320.

The previous prime is 3131239. The next prime is 3131251. The reversal of 3131240 is 421313.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14735 + ... + 14945.

It is an arithmetic number, because the mean of its divisors is an integer number (128790).

Almost surely, 23131240 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 3131240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4121280).

3131240 is an abundant number, since it is smaller than the sum of its proper divisors (5111320).

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

3131240 is a wasteful number, since it uses less digits than its factorization.

3131240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 3131240 is about 1769.5310113134. The cubic root of 3131240 is about 146.2981335223.

Adding to 3131240 its reverse (421313), we get a palindrome (3552553).

The spelling of 3131240 in words is "three million, one hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 53 56 70 106 140 211 212 265 280 371 422 424 530 742 844 1055 1060 1477 1484 1688 1855 2110 2120 2954 2968 3710 4220 5908 7385 7420 8440 11183 11816 14770 14840 22366 29540 44732 55915 59080 78281 89464 111830 156562 223660 313124 391405 447320 626248 782810 1565620 3131240