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31100040 = 2332586389
BaseRepresentation
bin111011010100…
…0110010001000
32011112001020100
41312220302020
530430200130
63030325400
7525226446
oct166506210
964461210
1031100040
1116611a14
12a4b9860
13659b8ba
1441b7b96
152ae4c60
hex1da8c88

31100040 has 48 divisors (see below), whose sum is σ = 101076300. Its totient is φ = 8293248.

The previous prime is 31100039. The next prime is 31100063. The reversal of 31100040 is 4000113.

It can be written as a sum of positive squares in 2 ways, for example, as 27436644 + 3663396 = 5238^2 + 1914^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 31099995 and 31100031.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42835 + ... + 43554.

Almost surely, 231100040 is an apocalyptic number.

31100040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31100040 is an abundant number, since it is smaller than the sum of its proper divisors (69976260).

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

31100040 is a wasteful number, since it uses less digits than its factorization.

31100040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86406 (or 86399 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 31100040 is about 5576.7409837646. The cubic root of 31100040 is about 314.4756203704.

Adding to 31100040 its reverse (4000113), we get a palindrome (35100153).

The spelling of 31100040 in words is "thirty-one million, one hundred thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 86389 172778 259167 345556 431945 518334 691112 777501 863890 1036668 1295835 1555002 1727780 2073336 2591670 3110004 3455560 3887505 5183340 6220008 7775010 10366680 15550020 31100040