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102853000 = 2353163631
BaseRepresentation
bin1100010000101…
…10100110001000
321011112110210101
412020112212020
5202312244000
614112255144
72356143655
oct610264610
9234473711
10102853000
115306aa88
122a5414b4
1318402283
14d934c2c
159069e6a
hex6216988

102853000 has 64 divisors (see below), whose sum is σ = 242536320. Its totient is φ = 40824000.

The previous prime is 102852991. The next prime is 102853013. The reversal of 102853000 is 358201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162685 + ... + 163315.

It is an arithmetic number, because the mean of its divisors is an integer number (3789630).

Almost surely, 2102853000 is an apocalyptic number.

102853000 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 102853000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121268160).

102853000 is an abundant number, since it is smaller than the sum of its proper divisors (139683320).

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

102853000 is a wasteful number, since it uses less digits than its factorization.

102853000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 102853000 is about 10141.6468090740. The cubic root of 102853000 is about 468.5317087305.

The spelling of 102853000 in words is "one hundred two million, eight hundred fifty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 163 200 250 326 500 631 652 815 1000 1262 1304 1630 2524 3155 3260 4075 5048 6310 6520 8150 12620 15775 16300 20375 25240 31550 32600 40750 63100 78875 81500 102853 126200 157750 163000 205706 315500 411412 514265 631000 822824 1028530 2057060 2571325 4114120 5142650 10285300 12856625 20570600 25713250 51426500 102853000