Search a number
-
+
10116456 = 233760217
BaseRepresentation
bin100110100101…
…110101101000
3201000222011120
4212211311220
510042211311
61000455240
7151663020
oct46456550
921028146
1010116456
11578a709
12347a520
13213288c
1414b4a80
15d4c706
hex9a5d68

10116456 has 32 divisors (see below), whose sum is σ = 28904640. Its totient is φ = 2890368.

The previous prime is 10116437. The next prime is 10116467. The reversal of 10116456 is 65461101.

10116456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 29941 + ... + 30276.

It is an arithmetic number, because the mean of its divisors is an integer number (903270).

Almost surely, 210116456 is an apocalyptic number.

It is an amenable number.

10116456 is an abundant number, since it is smaller than the sum of its proper divisors (18788184).

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

10116456 is a wasteful number, since it uses less digits than its factorization.

10116456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60233 (or 60229 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 10116456 is about 3180.6376719142. The cubic root of 10116456 is about 216.2765661728.

Adding to 10116456 its reverse (65461101), we get a palindrome (75577557).

The spelling of 10116456 in words is "ten million, one hundred sixteen thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 60217 120434 180651 240868 361302 421519 481736 722604 843038 1264557 1445208 1686076 2529114 3372152 5058228 10116456