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10116468 = 2233471993
BaseRepresentation
bin100110100101…
…110101110100
3201000222012000
4212211311310
510042211333
61000455300
7151663035
oct46456564
921028160
1010116468
11578a71a
12347a530
13213289b
1414b4a8c
15d4c713
hex9a5d74

10116468 has 48 divisors (see below), whose sum is σ = 26799360. Its totient is φ = 3298752.

The previous prime is 10116467. The next prime is 10116487. The reversal of 10116468 is 86461101.

10116468 is a `hidden beast` number, since 1 + 0 + 11 + 646 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10116467) 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 15 ways as a sum of consecutive naturals, for example, 4080 + ... + 6072.

It is an arithmetic number, because the mean of its divisors is an integer number (558320).

Almost surely, 210116468 is an apocalyptic number.

10116468 is a gapful number since it is divisible by the number (18) 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 10116468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13399680).

10116468 is an abundant number, since it is smaller than the sum of its proper divisors (16682892).

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

10116468 is a wasteful number, since it uses less digits than its factorization.

10116468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2053 (or 2045 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 10116468 is about 3180.6395583279. The cubic root of 10116468 is about 216.2766516875.

Adding to 10116468 its reverse (86461101), we get a palindrome (96577569).

The spelling of 10116468 in words is "ten million, one hundred sixteen thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 94 108 141 188 282 423 564 846 1269 1692 1993 2538 3986 5076 5979 7972 11958 17937 23916 35874 53811 71748 93671 107622 187342 215244 281013 374684 562026 843039 1124052 1686078 2529117 3372156 5058234 10116468