Search a number
-
+
187127668 = 2272132712
BaseRepresentation
bin10110010011101…
…01011101110100
3111001010001220101
423021311131310
5340401041133
630322443444
74431362500
oct1311653564
9431101811
10187127668
11966a0872
1252803584
132c9cb240
141abd1300
151166537d
hexb275774

187127668 has 54 divisors (see below), whose sum is σ = 411760818. Its totient is φ = 73755360.

The previous prime is 187127641. The next prime is 187127693. The reversal of 187127668 is 866721781.

It can be written as a sum of positive squares in only one way, i.e., 129549924 + 57577744 = 11382^2 + 7588^2 .

It is a super-2 number, since 2×1871276682 = 70033528262236448, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 690373 + ... + 690643.

Almost surely, 2187127668 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 187127668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205880409).

187127668 is an abundant number, since it is smaller than the sum of its proper divisors (224633150).

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

187127668 is a wasteful number, since it uses less digits than its factorization.

187127668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 293 counting only the distinct ones).

The product of its digits is 225792, while the sum is 46.

The square root of 187127668 is about 13679.4615391104. The cubic root of 187127668 is about 571.9780135647.

The spelling of 187127668 in words is "one hundred eighty-seven million, one hundred twenty-seven thousand, six hundred sixty-eight".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 196 271 364 542 637 1084 1274 1897 2548 3523 3794 7046 7588 13279 14092 24661 26558 49322 53116 73441 98644 146882 172627 293764 345254 514087 690508 954733 1028174 1909466 2056348 3598609 3818932 6683131 7197218 13366262 14394436 26732524 46781917 93563834 187127668