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187381145 = 5727310477
BaseRepresentation
bin10110010101100…
…11010110011001
3111001120221121102
423022303112121
5340432144040
630332121145
74433466500
oct1312632631
9431527542
10187381145
1196854256
12529061b5
132ca89723
141ac59837
15116b5515
hexb2b3599

187381145 has 24 divisors (see below), whose sum is σ = 265177224. Its totient is φ = 126717696.

The previous prime is 187381121. The next prime is 187381147. The reversal of 187381145 is 541183781.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 41744521 + 145636624 = 6461^2 + 12068^2 .

It is not a de Polignac number, because 187381145 - 28 = 187380889 is a prime.

It is a super-2 number, since 2×1873811452 = 70223387003022050, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 187381099 and 187381108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (187381147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12647 + ... + 23123.

It is an arithmetic number, because the mean of its divisors is an integer number (11049051).

Almost surely, 2187381145 is an apocalyptic number.

It is an amenable number.

187381145 is a deficient number, since it is larger than the sum of its proper divisors (77796079).

187381145 is a wasteful number, since it uses less digits than its factorization.

187381145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10569 (or 10562 counting only the distinct ones).

The product of its digits is 26880, while the sum is 38.

The square root of 187381145 is about 13688.7232786699. The cubic root of 187381145 is about 572.2361579260.

The spelling of 187381145 in words is "one hundred eighty-seven million, three hundred eighty-one thousand, one hundred forty-five".

Divisors: 1 5 7 35 49 73 245 365 511 2555 3577 10477 17885 52385 73339 366695 513373 764821 2566865 3824105 5353747 26768735 37476229 187381145