Search a number
-
+
102469520 = 2451280869
BaseRepresentation
bin1100001101110…
…00111110010000
321010210222202102
412012320332100
5202213011040
614100135532
72352655646
oct606707620
9233728672
10102469520
115292895a
122a3975a8
13182c986a
14d875196
158ee1515
hex61b8f90

102469520 has 20 divisors (see below), whose sum is σ = 238241820. Its totient is φ = 40987776.

The previous prime is 102469519. The next prime is 102469529. The reversal of 102469520 is 25964201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 77228944 + 25240576 = 8788^2 + 5024^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (102469529) 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 3 ways as a sum of consecutive naturals, for example, 640355 + ... + 640514.

It is an arithmetic number, because the mean of its divisors is an integer number (11912091).

Almost surely, 2102469520 is an apocalyptic number.

102469520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102469520 is an abundant number, since it is smaller than the sum of its proper divisors (135772300).

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

102469520 is a wasteful number, since it uses less digits than its factorization.

102469520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280882 (or 1280876 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 102469520 is about 10122.7229538302. The cubic root of 102469520 is about 467.9486879726.

The spelling of 102469520 in words is "one hundred two million, four hundred sixty-nine thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1280869 2561738 5123476 6404345 10246952 12808690 20493904 25617380 51234760 102469520