Search a number
-
+
10063840 = 255312029
BaseRepresentation
bin100110011000…
…111111100000
3200221021222211
4212120333200
510034020330
6555411504
7151353433
oct46307740
920837884
1010063840
115754126
123453b94
132114947
14149d81a
15d3bd2a
hex998fe0

10063840 has 48 divisors (see below), whose sum is σ = 24554880. Its totient is φ = 3893760.

The previous prime is 10063829. The next prime is 10063873. The reversal of 10063840 is 4836001.

10063840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3946 + ... + 5974.

It is an arithmetic number, because the mean of its divisors is an integer number (511560).

Almost surely, 210063840 is an apocalyptic number.

10063840 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 10063840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12277440).

10063840 is an abundant number, since it is smaller than the sum of its proper divisors (14491040).

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

10063840 is a wasteful number, since it uses less digits than its factorization.

10063840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2075 (or 2067 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 10063840 is about 3172.3555916700. The cubic root of 10063840 is about 215.9009605400.

Adding to 10063840 its reverse (4836001), we get a palindrome (14899841).

The spelling of 10063840 in words is "ten million, sixty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 496 620 992 1240 2029 2480 4058 4960 8116 10145 16232 20290 32464 40580 62899 64928 81160 125798 162320 251596 314495 324640 503192 628990 1006384 1257980 2012768 2515960 5031920 10063840