Search a number
-
+
102474827 = 7213179463
BaseRepresentation
bin1100001101110…
…10010001001011
321010211021000222
412012322101023
5202213143302
614100220255
72353010300
oct606722113
9233737028
10102474827
1152931944
122a39a68b
13182cc0c0
14d8770a7
158ee2da2
hex61ba44b

102474827 has 24 divisors (see below), whose sum is σ = 135940896. Its totient is φ = 76301568.

The previous prime is 102474817. The next prime is 102474839. The reversal of 102474827 is 728474201.

It is a happy number.

It is not a de Polignac number, because 102474827 - 26 = 102474763 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102474817) 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 23 ways as a sum of consecutive naturals, for example, 6098 + ... + 15560.

It is an arithmetic number, because the mean of its divisors is an integer number (5664204).

Almost surely, 2102474827 is an apocalyptic number.

102474827 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

102474827 is a deficient number, since it is larger than the sum of its proper divisors (33466069).

102474827 is a wasteful number, since it uses less digits than its factorization.

102474827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9507 (or 9500 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 35.

The square root of 102474827 is about 10122.9850834623. The cubic root of 102474827 is about 467.9567663449.

It can be divided in two parts, 102474 and 827, that added together give a palindrome (103301).

The spelling of 102474827 in words is "one hundred two million, four hundred seventy-four thousand, eight hundred twenty-seven".

Divisors: 1 7 13 17 49 91 119 221 637 833 1547 9463 10829 66241 123019 160871 463687 861133 1126097 2091323 6027931 7882679 14639261 102474827