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102825380 = 2257838849
BaseRepresentation
bin1100010000011…
…11110110100100
321011111001220102
412020033312210
5202310403010
614111523232
72356000310
oct610176644
9234431812
10102825380
1153051259
122a529518
13183c2828
14d928b40
159061ba5
hex620fda4

102825380 has 48 divisors (see below), whose sum is σ = 249782400. Its totient is φ = 34825728.

The previous prime is 102825379. The next prime is 102825383. The reversal of 102825380 is 83528201.

It is not an unprimeable number, because it can be changed into a prime (102825383) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7196 + ... + 16044.

It is an arithmetic number, because the mean of its divisors is an integer number (5203800).

Almost surely, 2102825380 is an apocalyptic number.

102825380 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 102825380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124891200).

102825380 is an abundant number, since it is smaller than the sum of its proper divisors (146957020).

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

102825380 is a wasteful number, since it uses less digits than its factorization.

102825380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8948 (or 8946 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 102825380 is about 10140.2850058566. The cubic root of 102825380 is about 468.4897653604.

The spelling of 102825380 in words is "one hundred two million, eight hundred twenty-five thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 83 140 166 332 415 581 830 1162 1660 2324 2905 5810 8849 11620 17698 35396 44245 61943 88490 123886 176980 247772 309715 619430 734467 1238860 1468934 2937868 3672335 5141269 7344670 10282538 14689340 20565076 25706345 51412690 102825380