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102853424 = 24232771009
BaseRepresentation
bin1100010000101…
…10101100110000
321011112111101002
412020112230300
5202312302144
614112301132
72356145132
oct610265460
9234474332
10102853424
1153070333
122a5417a8
131840251b
14d935052
15906a14e
hex6216b30

102853424 has 40 divisors (see below), whose sum is σ = 208900320. Its totient is φ = 48964608.

The previous prime is 102853393. The next prime is 102853433. The reversal of 102853424 is 424358201.

It is a happy 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, 101432 + ... + 102440.

It is an arithmetic number, because the mean of its divisors is an integer number (5222508).

Almost surely, 2102853424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102853424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104450160).

102853424 is an abundant number, since it is smaller than the sum of its proper divisors (106046896).

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

102853424 is a wasteful number, since it uses less digits than its factorization.

102853424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 102853424 is about 10141.6677129553. The cubic root of 102853424 is about 468.5323525528.

The spelling of 102853424 in words is "one hundred two million, eight hundred fifty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 23 46 92 184 277 368 554 1009 1108 2018 2216 4036 4432 6371 8072 12742 16144 23207 25484 46414 50968 92828 101936 185656 279493 371312 558986 1117972 2235944 4471888 6428339 12856678 25713356 51426712 102853424