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10371140 = 22513113353
BaseRepresentation
bin100111100100…
…000001000100
3201111220112022
4213210001010
510123334030
61010142312
7154103363
oct47440104
921456468
1010371140
115943a9a
123581998
1321c1790
14153d7da
15d9cde5
hex9e4044

10371140 has 48 divisors (see below), whose sum is σ = 23729328. Its totient is φ = 3784704.

The previous prime is 10371121. The next prime is 10371149. The reversal of 10371140 is 4117301.

It can be written as a sum of positive squares in 8 ways, for example, as 3694084 + 6677056 = 1922^2 + 2584^2 .

It is not an unprimeable number, because it can be changed into a prime (10371149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29204 + ... + 29556.

It is an arithmetic number, because the mean of its divisors is an integer number (494361).

Almost surely, 210371140 is an apocalyptic number.

10371140 is a gapful number since it is divisible by the number (10) 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 10371140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11864664).

10371140 is an abundant number, since it is smaller than the sum of its proper divisors (13358188).

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

10371140 is a wasteful number, since it uses less digits than its factorization.

10371140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 17.

The square root of 10371140 is about 3220.4254377333. The cubic root of 10371140 is about 218.0764818758.

Adding to 10371140 its reverse (4117301), we get a palindrome (14488441).

The spelling of 10371140 in words is "ten million, three hundred seventy-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 113 130 226 260 353 452 565 706 1130 1412 1469 1765 2260 2938 3530 4589 5876 7060 7345 9178 14690 18356 22945 29380 39889 45890 79778 91780 159556 199445 398890 518557 797780 1037114 2074228 2592785 5185570 10371140