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102323424 = 2537152267
BaseRepresentation
bin1100001100101…
…01010011100000
321010112120100110
412012111103200
5202143322144
614053051320
72351510010
oct606252340
9233476313
10102323424
1152839115
122a326b40
1318278208
14d837c40
158eb30b9
hex61954e0

102323424 has 48 divisors (see below), whose sum is σ = 306972288. Its totient is φ = 29235072.

The previous prime is 102323411. The next prime is 102323447. The reversal of 102323424 is 424323201.

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

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 102323424.

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 7 ways as a sum of consecutive naturals, for example, 75462 + ... + 76805.

It is an arithmetic number, because the mean of its divisors is an integer number (6395256).

Almost surely, 2102323424 is an apocalyptic number.

102323424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

102323424 is an abundant number, since it is smaller than the sum of its proper divisors (204648864).

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

102323424 is a wasteful number, since it uses less digits than its factorization.

102323424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152287 (or 152279 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 102323424 is about 10115.5041396858. The cubic root of 102323424 is about 467.7261894580.

Adding to 102323424 its reverse (424323201), we get a palindrome (526646625).

The spelling of 102323424 in words is "one hundred two million, three hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 152267 304534 456801 609068 913602 1065869 1218136 1827204 2131738 2436272 3197607 3654408 4263476 4872544 6395214 7308816 8526952 12790428 14617632 17053904 25580856 34107808 51161712 102323424