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102780882 = 23223409607
BaseRepresentation
bin1100010000001…
…00111111010010
321011101210212100
412020010333102
5202302442012
614110541230
72355423501
oct610047722
9234353770
10102780882
1153020886
122a507816
13183a84b9
14d916838
1590538dc
hex6204fd2

102780882 has 48 divisors (see below), whose sum is σ = 233326080. Its totient is φ = 32636736.

The previous prime is 102780877. The next prime is 102780893. The reversal of 102780882 is 288087201.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169023 + ... + 169629.

It is an arithmetic number, because the mean of its divisors is an integer number (4860960).

Almost surely, 2102780882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102780882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116663040).

102780882 is an abundant number, since it is smaller than the sum of its proper divisors (130545198).

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

102780882 is a wasteful number, since it uses less digits than its factorization.

102780882 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 102780882 is about 10138.0906486379. The cubic root of 102780882 is about 468.4221754798.

The spelling of 102780882 in words is "one hundred two million, seven hundred eighty thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 409 414 607 818 1214 1227 1821 2454 3642 3681 5463 7362 9407 10926 13961 18814 27922 28221 41883 56442 83766 84663 125649 169326 248263 251298 496526 744789 1489578 2234367 4468734 5710049 11420098 17130147 34260294 51390441 102780882