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187212493 = 13131211521
BaseRepresentation
bin10110010100010…
…10001011001101
3111001021101021001
423022022023031
5340411244433
630324340301
74432165006
oct1312121315
9431241231
10187212493
1196749576
1252844691
132ca2aa30
141ac141ad
151168057d
hexb28a2cd

187212493 has 16 divisors (see below), whose sum is σ = 204507072. Its totient is φ = 170352000.

The previous prime is 187212457. The next prime is 187212523. The reversal of 187212493 is 394212781.

It is not a de Polignac number, because 187212493 - 217 = 187081421 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (187212413) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 359073 + ... + 359593.

It is an arithmetic number, because the mean of its divisors is an integer number (12781692).

Almost surely, 2187212493 is an apocalyptic number.

187212493 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

187212493 is a deficient number, since it is larger than the sum of its proper divisors (17294579).

187212493 is a wasteful number, since it uses less digits than its factorization.

187212493 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876.

The product of its digits is 24192, while the sum is 37.

The square root of 187212493 is about 13682.5616388160. The cubic root of 187212493 is about 572.0644264155.

It can be divided in two parts, 1872 and 12493, that multiplied together give a square (23386896 = 48362).

The spelling of 187212493 in words is "one hundred eighty-seven million, two hundred twelve thousand, four hundred ninety-three".

Divisors: 1 13 131 211 521 1703 2743 6773 27641 68251 109931 359333 887263 1429103 14400961 187212493