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102324096 = 2732712689
BaseRepresentation
bin1100001100101…
…01011110000000
321010112121021100
412012111132000
5202143332341
614053054400
72351511660
oct606253600
9233477240
10102324096
1152839676
122a327400
1318278604
14d8381a0
158eb33b6
hex6195780

102324096 has 96 divisors (see below), whose sum is σ = 336538800. Its totient is φ = 29233152.

The previous prime is 102324091. The next prime is 102324107. The reversal of 102324096 is 690423201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102324091) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1720 + ... + 14408.

Almost surely, 2102324096 is an apocalyptic number.

102324096 is a gapful number since it is divisible by the number (16) 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 102324096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168269400).

102324096 is an abundant number, since it is smaller than the sum of its proper divisors (234214704).

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

102324096 is a wasteful number, since it uses less digits than its factorization.

102324096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12716 (or 12701 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 102324096 is about 10115.5373559688. The cubic root of 102324096 is about 467.7272133725.

Adding to 102324096 its reverse (690423201), we get a palindrome (792747297).

The spelling of 102324096 in words is "one hundred two million, three hundred twenty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 8064 12689 25378 38067 50756 76134 88823 101512 114201 152268 177646 203024 228402 266469 304536 355292 406048 456804 532938 609072 710584 799407 812096 913608 1065876 1218144 1421168 1598814 1624192 1827216 2131752 2436288 2842336 3197628 3654432 4263504 4872576 5684672 6395256 7308864 8527008 11369344 12790512 14617728 17054016 25581024 34108032 51162048 102324096