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102004140 = 22357242867
BaseRepresentation
bin1100001010001…
…11010110101100
321002221100101010
412011013112230
5202103113030
614042145220
72346010110
oct605072654
9232840333
10102004140
1152640247
122a1b2210
1318195aa4
14d793740
158e4d6b0
hex61475ac

102004140 has 48 divisors (see below), whose sum is σ = 326414592. Its totient is φ = 23315136.

The previous prime is 102004121. The next prime is 102004159. The reversal of 102004140 is 41400201.

It is an interprime number because it is at equal distance from previous prime (102004121) and next prime (102004159).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121014 + ... + 121853.

It is an arithmetic number, because the mean of its divisors is an integer number (6800304).

Almost surely, 2102004140 is an apocalyptic number.

102004140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102004140 is an abundant number, since it is smaller than the sum of its proper divisors (224410452).

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

102004140 is a wasteful number, since it uses less digits than its factorization.

102004140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242886 (or 242884 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 102004140 is about 10099.7098968238. The cubic root of 102004140 is about 467.2391941359.

Adding to 102004140 its reverse (41400201), we get a palindrome (143404341).

The spelling of 102004140 in words is "one hundred two million, four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 242867 485734 728601 971468 1214335 1457202 1700069 2428670 2914404 3400138 3643005 4857340 5100207 6800276 7286010 8500345 10200414 14572020 17000690 20400828 25501035 34001380 51002070 102004140