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102783968 = 257265551
BaseRepresentation
bin1100010000001…
…01101111100000
321011101222002122
412020011233200
5202303041333
614111003412
72355435500
oct610055740
9234358078
10102783968
1153023131
122a509568
13183a9a21
14d917a00
159054798
hex6205be0

102783968 has 36 divisors (see below), whose sum is σ = 235397232. Its totient is φ = 44049600.

The previous prime is 102783953. The next prime is 102783979. The reversal of 102783968 is 869387201.

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 5 ways as a sum of consecutive naturals, for example, 31208 + ... + 34343.

It is an arithmetic number, because the mean of its divisors is an integer number (6538812).

Almost surely, 2102783968 is an apocalyptic number.

It is an amenable number.

102783968 is an abundant number, since it is smaller than the sum of its proper divisors (132613264).

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

102783968 is an equidigital number, since it uses as much as digits as its factorization.

102783968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65575 (or 65560 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 44.

The square root of 102783968 is about 10138.2428457795. The cubic root of 102783968 is about 468.4268635642.

The spelling of 102783968 in words is "one hundred two million, seven hundred eighty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 65551 131102 262204 458857 524408 917714 1048816 1835428 2097632 3211999 3670856 6423998 7341712 12847996 14683424 25695992 51391984 102783968