Search a number
-
+
102400025 = 527131923103
BaseRepresentation
bin1100001101010…
…00000000011001
321010200110102112
412012220000121
5202203300100
614054442105
72352246230
oct606500031
9233613375
10102400025
1152890722
122a363335
13182a4040
14d857b17
158ecab35
hex61a8019

102400025 has 96 divisors (see below), whose sum is σ = 173322240. Its totient is φ = 58164480.

The previous prime is 102400021. The next prime is 102400031. The reversal of 102400025 is 520004201.

It is not a de Polignac number, because 102400025 - 22 = 102400021 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102399982 and 102400009.

It is not an unprimeable number, because it can be changed into a prime (102400021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 994124 + ... + 994226.

It is an arithmetic number, because the mean of its divisors is an integer number (1805440).

Almost surely, 2102400025 is an apocalyptic number.

It is an amenable number.

102400025 is a deficient number, since it is larger than the sum of its proper divisors (70922215).

102400025 is a wasteful number, since it uses less digits than its factorization.

102400025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 102400025 is about 10119.2897478034. The cubic root of 102400025 is about 467.8428761872.

Adding to 102400025 its reverse (520004201), we get a palindrome (622404226).

The spelling of 102400025 in words is "one hundred two million, four hundred thousand, twenty-five".

Divisors: 1 5 7 13 19 23 25 35 65 91 95 103 115 133 161 175 247 299 325 437 455 475 515 575 665 721 805 1235 1339 1495 1729 1957 2093 2185 2275 2369 2575 3059 3325 3605 4025 5681 6175 6695 7475 8645 9373 9785 10465 10925 11845 13699 15295 16583 18025 25441 28405 30797 33475 39767 43225 45011 46865 48925 52325 59225 68495 76475 82915 127205 142025 153985 178087 198835 215579 225055 234325 315077 342475 414575 585143 636025 769925 890435 994175 1077895 1125275 1575385 2925715 4096001 4452175 5389475 7876925 14628575 20480005 102400025