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102927192 = 23331373739
BaseRepresentation
bin1100010001010…
…00101101011000
321011200020120020
412020220231120
5202322132232
614114030440
72356603164
oct610505530
9234606506
10102927192
11531107a5
122a578420
1318429c84
14d953ca4
159081e2c
hex6228b58

102927192 has 64 divisors (see below), whose sum is σ = 272870400. Its totient is φ = 32296320.

The previous prime is 102927151. The next prime is 102927193. The reversal of 102927192 is 291729201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102927193) 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 15 ways as a sum of consecutive naturals, for example, 25659 + ... + 29397.

It is an arithmetic number, because the mean of its divisors is an integer number (4263600).

Almost surely, 2102927192 is an apocalyptic number.

102927192 is a gapful number since it is divisible by the number (12) 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 102927192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136435200).

102927192 is an abundant number, since it is smaller than the sum of its proper divisors (169943208).

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

102927192 is a wasteful number, since it uses less digits than its factorization.

102927192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3816 (or 3812 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The square root of 102927192 is about 10145.3039382761. The cubic root of 102927192 is about 468.6443385668.

The spelling of 102927192 in words is "one hundred two million, nine hundred twenty-seven thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 24 31 37 62 74 93 111 124 148 186 222 248 296 372 444 744 888 1147 2294 3441 3739 4588 6882 7478 9176 11217 13764 14956 22434 27528 29912 44868 89736 115909 138343 231818 276686 347727 415029 463636 553372 695454 830058 927272 1106744 1390908 1660116 2781816 3320232 4288633 8577266 12865899 17154532 25731798 34309064 51463596 102927192