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187213005 = 3357198109
BaseRepresentation
bin10110010100010…
…10010011001101
3111001021101222000
423022022103031
5340411304010
630324342513
74432166340
oct1312122315
9431241860
10187213005
11967499a1
1252844a39
132ca2b035
141ac14457
15116807c0
hexb28a4cd

187213005 has 32 divisors (see below), whose sum is σ = 380371200. Its totient is φ = 85582656.

The previous prime is 187212997. The next prime is 187213021. The reversal of 187213005 is 500312781.

It is not a de Polignac number, because 187213005 - 23 = 187212997 is a prime.

It is a super-2 number, since 2×1872130052 = 70097418482260050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 187213005.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 98110 + ... + 99999.

It is an arithmetic number, because the mean of its divisors is an integer number (11886600).

Almost surely, 2187213005 is an apocalyptic number.

187213005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

187213005 is an abundant number, since it is smaller than the sum of its proper divisors (193158195).

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

187213005 is a wasteful number, since it uses less digits than its factorization.

187213005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198130 (or 198124 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 187213005 is about 13682.5803487500. The cubic root of 187213005 is about 572.0649479205.

Adding to 187213005 its reverse (500312781), we get a palindrome (687525786).

The spelling of 187213005 in words is "one hundred eighty-seven million, two hundred thirteen thousand, five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 198109 594327 990545 1386763 1782981 2971635 4160289 5348943 6933815 8914905 12480867 20801445 26744715 37442601 62404335 187213005