Search a number
-
+
102304112 = 24293759101
BaseRepresentation
bin1100001100100…
…00100101110000
321010111120212012
412012100211300
5202142212422
614052422052
72351366501
oct606204560
9233446765
10102304112
1152825659
122a317928
131826c4a1
14d830ba8
158eac4e2
hex6190970

102304112 has 80 divisors (see below), whose sum is σ = 216280800. Its totient is φ = 46771200.

The previous prime is 102304099. The next prime is 102304117. The reversal of 102304112 is 211403201.

It is a super-2 number, since 2×1023041122 = 20932262664217088, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102304117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1012862 + ... + 1012962.

It is an arithmetic number, because the mean of its divisors is an integer number (2703510).

Almost surely, 2102304112 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 102304112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108140400).

102304112 is an abundant number, since it is smaller than the sum of its proper divisors (113976688).

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

102304112 is a wasteful number, since it uses less digits than its factorization.

102304112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 102304112 is about 10114.5495203692. The cubic root of 102304112 is about 467.6967621899.

Adding to 102304112 its reverse (211403201), we get a palindrome (313707313).

The spelling of 102304112 in words is "one hundred two million, three hundred four thousand, one hundred twelve".

Divisors: 1 2 4 8 16 29 37 58 59 74 101 116 118 148 202 232 236 296 404 464 472 592 808 944 1073 1616 1711 2146 2183 2929 3422 3737 4292 4366 5858 5959 6844 7474 8584 8732 11716 11918 13688 14948 17168 17464 23432 23836 27376 29896 34928 46864 47672 59792 63307 95344 108373 126614 172811 216746 220483 253228 345622 433492 440966 506456 691244 866984 881932 1012912 1382488 1733968 1763864 2764976 3527728 6394007 12788014 25576028 51152056 102304112