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102080475 = 32527247197
BaseRepresentation
bin1100001010110…
…01111111011011
321010002020002100
412011121333123
5202113033400
614043534443
72346445500
oct605317733
9233066070
10102080475
1152692632
122a22a423
13181c1763
14d7b34a7
158e66100
hex6159fdb

102080475 has 108 divisors (see below), whose sum is σ = 218316384. Its totient is φ = 45440640.

The previous prime is 102080453. The next prime is 102080479. The reversal of 102080475 is 574080201.

It is not a de Polignac number, because 102080475 - 28 = 102080219 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102080479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 518077 + ... + 518273.

It is an arithmetic number, because the mean of its divisors is an integer number (2021448).

Almost surely, 2102080475 is an apocalyptic number.

102080475 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

102080475 is an abundant number, since it is smaller than the sum of its proper divisors (116235909).

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

102080475 is a wasteful number, since it uses less digits than its factorization.

102080475 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 102080475 is about 10103.4882590123. The cubic root of 102080475 is about 467.3557181989.

The spelling of 102080475 in words is "one hundred two million, eighty thousand, four hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 47 49 63 75 105 141 147 175 197 225 235 245 315 329 423 441 525 591 705 735 985 987 1175 1225 1379 1575 1645 1773 2115 2205 2303 2955 2961 3525 3675 4137 4925 4935 6895 6909 8225 8865 9259 9653 10575 11025 11515 12411 14775 14805 20685 20727 24675 27777 28959 34475 34545 44325 46295 48265 57575 62055 64813 74025 83331 86877 103425 103635 138885 144795 172725 194439 231475 241325 310275 324065 416655 434385 453691 518175 583317 694425 723975 972195 1361073 1620325 2083275 2171925 2268455 2916585 4083219 4860975 6805365 11342275 14582925 20416095 34026825 102080475