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40130412 = 22372139491
BaseRepresentation
bin1001100100010…
…1011101101100
32210111211120120
42121011131230
540233133122
63552044540
7665050200
oct231053554
983454516
1040130412
112071a633
1211533750
13841100a
145488b00
1537ca75c
hex264576c

40130412 has 72 divisors (see below), whose sum is σ = 109932480. Its totient is φ = 11360160.

The previous prime is 40130401. The next prime is 40130429. The reversal of 40130412 is 21403104.

40130412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×401304122 = 3220899934579488, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40130391 and 40130400.

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 23 ways as a sum of consecutive naturals, for example, 81487 + ... + 81977.

It is an arithmetic number, because the mean of its divisors is an integer number (1526840).

Almost surely, 240130412 is an apocalyptic number.

40130412 is a gapful number since it is divisible by the number (42) 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 40130412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54966240).

40130412 is an abundant number, since it is smaller than the sum of its proper divisors (69802068).

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

40130412 is a wasteful number, since it uses less digits than its factorization.

40130412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 40130412 is about 6334.8569044612. The cubic root of 40130412 is about 342.3664551198.

Adding to 40130412 its reverse (21403104), we get a palindrome (61533516).

The spelling of 40130412 in words is "forty million, one hundred thirty thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 139 147 196 278 294 417 491 556 588 834 973 982 1473 1668 1946 1964 2919 2946 3437 3892 5838 5892 6811 6874 10311 11676 13622 13748 20433 20622 24059 27244 40866 41244 48118 68249 72177 81732 96236 136498 144354 204747 272996 288708 409494 477743 818988 955486 1433229 1910972 2866458 3344201 5732916 6688402 10032603 13376804 20065206 40130412