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102788440 = 2354575623
BaseRepresentation
bin1100010000001…
…10110101011000
321011102012020021
412020012311120
5202303212230
614111040224
72355454516
oct610066530
9234365207
10102788440
1153026527
122a510074
13183aba81
14d9194b6
159055c7a
hex6206d58

102788440 has 32 divisors (see below), whose sum is σ = 231821280. Its totient is φ = 41018112.

The previous prime is 102788437. The next prime is 102788459. The reversal of 102788440 is 44887201.

It is a junction number, because it is equal to n+sod(n) for n = 102788396 and 102788405.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 15469 + ... + 21091.

It is an arithmetic number, because the mean of its divisors is an integer number (7244415).

Almost surely, 2102788440 is an apocalyptic number.

102788440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102788440 is an abundant number, since it is smaller than the sum of its proper divisors (129032840).

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

102788440 is a wasteful number, since it uses less digits than its factorization.

102788440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6091 (or 6087 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 34.

The square root of 102788440 is about 10138.4633944203. The cubic root of 102788440 is about 468.4336570185.

The spelling of 102788440 in words is "one hundred two million, seven hundred eighty-eight thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 457 914 1828 2285 3656 4570 5623 9140 11246 18280 22492 28115 44984 56230 112460 224920 2569711 5139422 10278844 12848555 20557688 25697110 51394220 102788440