Search a number
-
+
10387040 = 25564919
BaseRepresentation
bin100111100111…
…111001100000
3201112201100012
4213213321200
510124341130
61010344052
7154200626
oct47477140
921481305
1010387040
115954a34
12358b028
1321c8aa1
141545516
15da2995
hex9e7e60

10387040 has 24 divisors (see below), whose sum is σ = 24539760. Its totient is φ = 4154752.

The previous prime is 10387031. The next prime is 10387043. The reversal of 10387040 is 4078301.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10386997 and 10387015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10387043) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 32300 + ... + 32619.

It is an arithmetic number, because the mean of its divisors is an integer number (1022490).

Almost surely, 210387040 is an apocalyptic number.

10387040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10387040 is an abundant number, since it is smaller than the sum of its proper divisors (14152720).

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

10387040 is an equidigital number, since it uses as much as digits as its factorization.

10387040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64934 (or 64926 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 10387040 is about 3222.8931102350. The cubic root of 10387040 is about 218.1878693608.

The spelling of 10387040 in words is "ten million, three hundred eighty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 64919 129838 259676 324595 519352 649190 1038704 1298380 2077408 2596760 5193520 10387040