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31241120 = 255296733
BaseRepresentation
bin111011100101…
…1001110100000
32011210012202112
41313023032200
530444203440
63033334452
7526354661
oct167131640
964705675
1031241120
11166a8a09
12a567428
13661ab91
144213368
152b21965
hex1dcb3a0

31241120 has 48 divisors (see below), whose sum is σ = 76363560. Its totient is φ = 12063744.

The previous prime is 31241113. The next prime is 31241159. The reversal of 31241120 is 2114213.

It can be written as a sum of positive squares in 4 ways, for example, as 30958096 + 283024 = 5564^2 + 532^2 .

It is a junction number, because it is equal to n+sod(n) for n = 31241095 and 31241104.

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 7 ways as a sum of consecutive naturals, for example, 1274 + ... + 8006.

Almost surely, 231241120 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 31241120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38181780).

31241120 is an abundant number, since it is smaller than the sum of its proper divisors (45122440).

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

31241120 is a wasteful number, since it uses less digits than its factorization.

31241120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6777 (or 6769 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 31241120 is about 5589.3756359722. The cubic root of 31241120 is about 314.9504247168.

Adding to 31241120 its reverse (2114213), we get a palindrome (33355333).

The spelling of 31241120 in words is "thirty-one million, two hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 928 1160 2320 4640 6733 13466 26932 33665 53864 67330 107728 134660 195257 215456 269320 390514 538640 781028 976285 1077280 1562056 1952570 3124112 3905140 6248224 7810280 15620560 31241120