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102444006 = 237217103199
BaseRepresentation
bin1100001101100…
…10101111100110
321010202200202110
412012302233212
5202211202011
614055421450
72352521400
oct606625746
9233680673
10102444006
1152910775
122a384886
13182bb072
14d869b70
158ed8ba6
hex61b2be6

102444006 has 96 divisors (see below), whose sum is σ = 256089600. Its totient is φ = 27143424.

The previous prime is 102443993. The next prime is 102444007. The reversal of 102444006 is 600444201.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102444007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 514695 + ... + 514893.

It is an arithmetic number, because the mean of its divisors is an integer number (2667600).

Almost surely, 2102444006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102444006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128044800).

102444006 is an abundant number, since it is smaller than the sum of its proper divisors (153645594).

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

102444006 is a wasteful number, since it uses less digits than its factorization.

102444006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 102444006 is about 10121.4626413380. The cubic root of 102444006 is about 467.9098463935.

Adding to 102444006 its reverse (600444201), we get a palindrome (702888207).

The spelling of 102444006 in words is "one hundred two million, four hundred forty-four thousand, six".

Divisors: 1 2 3 6 7 14 17 21 34 42 49 51 98 102 103 119 147 199 206 238 294 309 357 398 597 618 714 721 833 1194 1393 1442 1666 1751 2163 2499 2786 3383 3502 4179 4326 4998 5047 5253 6766 8358 9751 10094 10149 10506 12257 15141 19502 20298 20497 23681 24514 29253 30282 36771 40994 47362 58506 61491 71043 73542 85799 122982 142086 143479 165767 171598 257397 286958 331534 348449 430437 497301 514794 696898 860874 994602 1004353 1045347 2008706 2090694 2439143 3013059 4878286 6026118 7317429 14634858 17074001 34148002 51222003 102444006