Search a number
-
+
10116384 = 253105379
BaseRepresentation
bin100110100101…
…110100100000
3201000222001220
4212211310200
510042211014
61000455040
7151662555
oct46456440
921028056
1010116384
11578a653
12347a480
132132835
1414b4a2c
15d4c6a9
hex9a5d20

10116384 has 24 divisors (see below), whose sum is σ = 26555760. Its totient is φ = 3372096.

The previous prime is 10116373. The next prime is 10116391. The reversal of 10116384 is 48361101.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×101163843 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 52594 + ... + 52785.

It is an arithmetic number, because the mean of its divisors is an integer number (1106490).

Almost surely, 210116384 is an apocalyptic number.

It is an amenable number.

10116384 is an abundant number, since it is smaller than the sum of its proper divisors (16439376).

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

10116384 is a wasteful number, since it uses less digits than its factorization.

10116384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105392 (or 105384 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 10116384 is about 3180.6263534090. The cubic root of 10116384 is about 216.2760530830.

Adding to 10116384 its reverse (48361101), we get a palindrome (58477485).

The spelling of 10116384 in words is "ten million, one hundred sixteen thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 105379 210758 316137 421516 632274 843032 1264548 1686064 2529096 3372128 5058192 10116384