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115204005 = 3357121909
BaseRepresentation
bin1101101110111…
…01111110100101
322000202222012000
412313131332211
5213443012010
615233115513
72566134510
oct667357645
9260688160
10115204005
115a036524
12326b8b99
131ab37c67
141142bd77
15a1a97c0
hex6dddfa5

115204005 has 32 divisors (see below), whose sum is σ = 234067200. Its totient is φ = 52664256.

The previous prime is 115203983. The next prime is 115204007. The reversal of 115204005 is 500402511.

It is not a de Polignac number, because 115204005 - 27 = 115203877 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115204007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60010 + ... + 61899.

It is an arithmetic number, because the mean of its divisors is an integer number (7314600).

Almost surely, 2115204005 is an apocalyptic number.

115204005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

115204005 is an abundant number, since it is smaller than the sum of its proper divisors (118863195).

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

115204005 is a wasteful number, since it uses less digits than its factorization.

115204005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121930 (or 121924 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 115204005 is about 10733.3128622993. The cubic root of 115204005 is about 486.5817982886.

Adding to 115204005 its reverse (500402511), we get a palindrome (615606516).

The spelling of 115204005 in words is "one hundred fifteen million, two hundred four thousand, five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 121909 365727 609545 853363 1097181 1828635 2560089 3291543 4266815 5485905 7680267 12800445 16457715 23040801 38401335 115204005