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102452560 = 2457199629
BaseRepresentation
bin1100001101101…
…00110101010000
321010210010111021
412012310311100
5202211440220
614055525224
72352555340
oct606646520
9233703437
10102452560
1152917141
122a389814
13182c1c22
14d86cd20
158edb4aa
hex61b4d50

102452560 has 80 divisors (see below), whose sum is σ = 286588800. Its totient is φ = 33274368.

The previous prime is 102452543. The next prime is 102452561. The reversal of 102452560 is 65254201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102452561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5826 + ... + 15454.

It is an arithmetic number, because the mean of its divisors is an integer number (3582360).

Almost surely, 2102452560 is an apocalyptic number.

102452560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102452560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143294400).

102452560 is an abundant number, since it is smaller than the sum of its proper divisors (184136240).

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

102452560 is a wasteful number, since it uses less digits than its factorization.

102452560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9668 (or 9662 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 102452560 is about 10121.8851999022. The cubic root of 102452560 is about 467.9228694083.

The spelling of 102452560 in words is "one hundred two million, four hundred fifty-two thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 70 76 80 95 112 133 140 152 190 266 280 304 380 532 560 665 760 1064 1330 1520 2128 2660 5320 9629 10640 19258 38516 48145 67403 77032 96290 134806 154064 182951 192580 269612 337015 365902 385160 539224 674030 731804 770320 914755 1078448 1280657 1348060 1463608 1829510 2561314 2696120 2927216 3659020 5122628 5392240 6403285 7318040 10245256 12806570 14636080 20490512 25613140 51226280 102452560