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103920288 = 2537271489
BaseRepresentation
bin1100011000110…
…11001010100000
321020112200211120
412030123022200
5203100422123
614151212240
72401210413
oct614331240
9236480746
10103920288
115372993a
122a977080
13186b6cc4
14db31b7a
1591cb2e3
hex631b2a0

103920288 has 48 divisors (see below), whose sum is σ = 273349440. Its totient is φ = 34569216.

The previous prime is 103920239. The next prime is 103920317. The reversal of 103920288 is 882029301.

It is a tau number, because it is divible by the number of its divisors (48).

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, 69048 + ... + 70536.

It is an arithmetic number, because the mean of its divisors is an integer number (5694780).

Almost surely, 2103920288 is an apocalyptic number.

It is an amenable number.

103920288 is an abundant number, since it is smaller than the sum of its proper divisors (169429152).

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

103920288 is a wasteful number, since it uses less digits than its factorization.

103920288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2229 (or 2221 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 103920288 is about 10194.1300756857. The cubic root of 103920288 is about 470.1467596615.

Adding to 103920288 its reverse (882029301), we get a palindrome (985949589).

The spelling of 103920288 in words is "one hundred three million, nine hundred twenty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 727 1454 1489 2181 2908 2978 4362 4467 5816 5956 8724 8934 11632 11912 17448 17868 23264 23824 34896 35736 47648 69792 71472 142944 1082503 2165006 3247509 4330012 6495018 8660024 12990036 17320048 25980072 34640096 51960144 103920288