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36083985 = 357401857
BaseRepresentation
bin1000100110100…
…1100100010001
32111220020220220
42021221210101
533214141420
63325223253
7615465060
oct211514421
974806826
1036083985
1119406483
1210101b29
137625292
144b141d7
15327b840
hex2269911

36083985 has 32 divisors (see below), whose sum is σ = 66223872. Its totient is φ = 16435200.

The previous prime is 36083963. The next prime is 36084023. The reversal of 36083985 is 58938063.

It is not a de Polignac number, because 36083985 - 25 = 36083953 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41677 + ... + 42533.

It is an arithmetic number, because the mean of its divisors is an integer number (2069496).

Almost surely, 236083985 is an apocalyptic number.

36083985 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

36083985 is a deficient number, since it is larger than the sum of its proper divisors (30139887).

36083985 is a wasteful number, since it uses less digits than its factorization.

36083985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273.

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 36083985 is about 6006.9946728793. The cubic root of 36083985 is about 330.4492961767.

The spelling of 36083985 in words is "thirty-six million, eighty-three thousand, nine hundred eighty-five".

Divisors: 1 3 5 7 15 21 35 105 401 857 1203 2005 2571 2807 4285 5999 6015 8421 12855 14035 17997 29995 42105 89985 343657 1030971 1718285 2405599 5154855 7216797 12027995 36083985