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40115140 = 22513277557
BaseRepresentation
bin1001100100000…
…1101111000100
32210111001121221
42121001233010
540232141030
63551450124
7664654522
oct231015704
983431557
1040115140
112070a10a
1211526944
138407090
145483312
1537c5e7a
hex2641bc4

40115140 has 48 divisors (see below), whose sum is σ = 91212912. Its totient is φ = 14731776.

The previous prime is 40115093. The next prime is 40115143. The reversal of 40115140 is 4151104.

It can be written as a sum of positive squares in 8 ways, for example, as 16144324 + 23970816 = 4018^2 + 4896^2 .

It is not an unprimeable number, because it can be changed into a prime (40115143) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 71742 + ... + 72298.

It is an arithmetic number, because the mean of its divisors is an integer number (1900269).

Almost surely, 240115140 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 40115140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45606456).

40115140 is an abundant number, since it is smaller than the sum of its proper divisors (51097772).

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

40115140 is a wasteful number, since it uses less digits than its factorization.

40115140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 40115140 is about 6333.6513955222. The cubic root of 40115140 is about 342.3230193675.

Adding to 40115140 its reverse (4151104), we get a palindrome (44266244).

The spelling of 40115140 in words is "forty million, one hundred fifteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 277 554 557 1108 1114 1385 2228 2770 2785 3601 5540 5570 7202 7241 11140 14404 14482 18005 28964 36010 36205 72020 72410 144820 154289 308578 617156 771445 1542890 2005757 3085780 4011514 8023028 10028785 20057570 40115140