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9916144 = 247294371
BaseRepresentation
bin100101110100…
…111011110000
3200122210101121
4211310323300
510014304034
6552312024
7150200020
oct45647360
920583347
109916144
115663167
1233a2614
132092654
141461a80
15d0d1b4
hex974ef0

9916144 has 80 divisors (see below), whose sum is σ = 23569920. Its totient is φ = 3951360.

The previous prime is 9916139. The next prime is 9916163. The reversal of 9916144 is 4416199.

It is a congruent number.

It is an unprimeable number.

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, 139629 + ... + 139699.

It is an arithmetic number, because the mean of its divisors is an integer number (294624).

Almost surely, 29916144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9916144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11784960).

9916144 is an abundant number, since it is smaller than the sum of its proper divisors (13653776).

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

9916144 is a wasteful number, since it uses less digits than its factorization.

9916144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 152 counting only the distinct ones).

The product of its digits is 7776, while the sum is 34.

The square root of 9916144 is about 3148.9909494948. The cubic root of 9916144 is about 214.8395702420.

Subtracting from 9916144 its reverse (4416199), we obtain a palindrome (5499945).

The spelling of 9916144 in words is "nine million, nine hundred sixteen thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 29 43 56 58 71 86 112 116 142 172 203 232 284 301 344 406 464 497 568 602 688 812 994 1136 1204 1247 1624 1988 2059 2408 2494 3053 3248 3976 4118 4816 4988 6106 7952 8236 8729 9976 12212 14413 16472 17458 19952 21371 24424 28826 32944 34916 42742 48848 57652 69832 85484 88537 115304 139664 170968 177074 230608 341936 354148 619759 708296 1239518 1416592 2479036 4958072 9916144