Search a number
-
+
10371240 = 233551197
BaseRepresentation
bin100111100100…
…000010101000
3201111220200000
4213210002220
510123334430
61010143000
7154103565
oct47440250
921456600
1010371240
115944080
123581a60
1321c1839
14153d86c
15d9ce60
hex9e40a8

10371240 has 192 divisors, whose sum is σ = 38525760. Its totient is φ = 2488320.

The previous prime is 10371227. The next prime is 10371247. The reversal of 10371240 is 4217301.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10371247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106872 + ... + 106968.

It is an arithmetic number, because the mean of its divisors is an integer number (200655).

Almost surely, 210371240 is an apocalyptic number.

10371240 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 10371240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19262880).

10371240 is an abundant number, since it is smaller than the sum of its proper divisors (28154520).

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

10371240 is a wasteful number, since it uses less digits than its factorization.

10371240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 10371240 is about 3220.4409635949. The cubic root of 10371240 is about 218.0771827816.

Adding to 10371240 its reverse (4217301), we get a palindrome (14588541).

The spelling of 10371240 in words is "ten million, three hundred seventy-one thousand, two hundred forty".