Search a number
-
+
10387440 = 243457229
BaseRepresentation
bin100111100111…
…111111110000
3201112201220000
4213213333300
510124344230
61010350000
7154202040
oct47477760
921481800
1010387440
115955268
12358b300
1321c901b
141545720
15da2b60
hex9e7ff0

10387440 has 200 divisors, whose sum is σ = 41411040. Its totient is φ = 2363904.

The previous prime is 10387427. The next prime is 10387463. The reversal of 10387440 is 4478301.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 45246 + ... + 45474.

Almost surely, 210387440 is an apocalyptic number.

10387440 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 10387440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20705520).

10387440 is an abundant number, since it is smaller than the sum of its proper divisors (31023600).

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

10387440 is a wasteful number, since it uses less digits than its factorization.

10387440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 10387440 is about 3222.9551656826. The cubic root of 10387440 is about 218.1906700954.

The spelling of 10387440 in words is "ten million, three hundred eighty-seven thousand, four hundred forty".