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102466960 = 2451280837
BaseRepresentation
bin1100001101110…
…00010110010000
321010210212020121
412012320112100
5202212420320
614100120024
72352645331
oct606702620
9233725217
10102466960
1152926a42
122a396014
13182c864b
14d874288
158ee08aa
hex61b8590

102466960 has 20 divisors (see below), whose sum is σ = 238235868. Its totient is φ = 40986752.

The previous prime is 102466951. The next prime is 102466963. The reversal of 102466960 is 69664201.

It can be written as a sum of positive squares in 2 ways, for example, as 16941456 + 85525504 = 4116^2 + 9248^2 .

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 (102466963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 640339 + ... + 640498.

Almost surely, 2102466960 is an apocalyptic number.

102466960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102466960 is an abundant number, since it is smaller than the sum of its proper divisors (135768908).

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

102466960 is a wasteful number, since it uses less digits than its factorization.

102466960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280850 (or 1280844 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 102466960 is about 10122.5965048499. The cubic root of 102466960 is about 467.9447910134.

The spelling of 102466960 in words is "one hundred two million, four hundred sixty-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1280837 2561674 5123348 6404185 10246696 12808370 20493392 25616740 51233480 102466960