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103132080 = 24325143239
BaseRepresentation
bin1100010010110…
…10101110110000
321012001122121200
412021122232300
5202400211310
614122251200
72361415422
oct611325660
9235048550
10103132080
1153240727
122a656b00
131849c2cc
14d9a8812
1590c29c0
hex625abb0

103132080 has 60 divisors (see below), whose sum is σ = 346354320. Its totient is φ = 27501696.

The previous prime is 103132067. The next prime is 103132109. The reversal of 103132080 is 80231301.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 70900 + ... + 72339.

It is an arithmetic number, because the mean of its divisors is an integer number (5772572).

Almost surely, 2103132080 is an apocalyptic number.

103132080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103132080 is an abundant number, since it is smaller than the sum of its proper divisors (243222240).

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

103132080 is a wasteful number, since it uses less digits than its factorization.

103132080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143258 (or 143249 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 103132080 is about 10155.3965949144. The cubic root of 103132080 is about 468.9550953169.

Adding to 103132080 its reverse (80231301), we get a palindrome (183363381).

The spelling of 103132080 in words is "one hundred three million, one hundred thirty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 143239 286478 429717 572956 716195 859434 1145912 1289151 1432390 1718868 2148585 2291824 2578302 2864780 3437736 4297170 5156604 5729560 6445755 6875472 8594340 10313208 11459120 12891510 17188680 20626416 25783020 34377360 51566040 103132080