Search a number
-
+
1887088 = 24722983
BaseRepresentation
bin111001100101101110000
310112212121011
413030231300
5440341323
6104240304
722016500
oct7145560
93485534
101887088
111079885
12770094
13510c28
14371a00
1527420d
hex1ccb70

1887088 has 60 divisors (see below), whose sum is σ = 4452840. Its totient is φ = 771456.

The previous prime is 1887079. The next prime is 1887091. The reversal of 1887088 is 8807881.

It is a super-3 number, since 3×18870883 = 20160333569566396416, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1887088.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22695 + ... + 22777.

It is an arithmetic number, because the mean of its divisors is an integer number (74214).

21887088 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 1887088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2226420).

1887088 is an abundant number, since it is smaller than the sum of its proper divisors (2565752).

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

1887088 is a wasteful number, since it uses less digits than its factorization.

1887088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 40.

The square root of 1887088 is about 1373.7132160680. The cubic root of 1887088 is about 123.5750280332.

The spelling of 1887088 in words is "one million, eight hundred eighty-seven thousand, eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 49 56 58 83 98 112 116 166 196 203 232 332 392 406 464 581 664 784 812 1162 1328 1421 1624 2324 2407 2842 3248 4067 4648 4814 5684 8134 9296 9628 11368 16268 16849 19256 22736 32536 33698 38512 65072 67396 117943 134792 235886 269584 471772 943544 1887088