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187680213 = 3375771721
BaseRepresentation
bin10110010111111…
…00010111010101
3111002011010212000
423023330113111
5341021231323
630342345513
74436153430
oct1313742725
9432133760
10187680213
1196a38a16
1252a2b299
132cb628a6
141acd6817
1511723e43
hexb2fc5d5

187680213 has 32 divisors (see below), whose sum is σ = 318501120. Its totient is φ = 106997760.

The previous prime is 187680203. The next prime is 187680217. The reversal of 187680213 is 312086781.

It is not a de Polignac number, because 187680213 - 26 = 187680149 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (187680217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108193 + ... + 109913.

It is an arithmetic number, because the mean of its divisors is an integer number (9953160).

Almost surely, 2187680213 is an apocalyptic number.

It is an amenable number.

187680213 is a deficient number, since it is larger than the sum of its proper divisors (130820907).

187680213 is a wasteful number, since it uses less digits than its factorization.

187680213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2314 (or 2308 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 187680213 is about 13699.6428055625. The cubic root of 187680213 is about 572.5404335712.

The spelling of 187680213 in words is "one hundred eighty-seven million, six hundred eighty thousand, two hundred thirteen".

Divisors: 1 3 7 9 21 27 63 189 577 1721 1731 4039 5163 5193 12047 12117 15489 15579 36141 36351 46467 108423 109053 325269 993017 2979051 6951119 8937153 20853357 26811459 62560071 187680213