Search a number
-
+
3887000 = 235313223
BaseRepresentation
bin1110110100111110011000
321022110221222
432310332120
51443341000
6215151212
745016235
oct16647630
97273858
103887000
1122153a7
121375508
13a61300
1473278c
1551ba85
hex3b4f98

3887000 has 96 divisors (see below), whose sum is σ = 10277280. Its totient is φ = 1372800.

The previous prime is 3886991. The next prime is 3887003. The reversal of 3887000 is 7883.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3887003) 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 23 ways as a sum of consecutive naturals, for example, 168989 + ... + 169011.

It is an arithmetic number, because the mean of its divisors is an integer number (107055).

Almost surely, 23887000 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 3887000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5138640).

3887000 is an abundant number, since it is smaller than the sum of its proper divisors (6390280).

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

3887000 is a wasteful number, since it uses less digits than its factorization.

3887000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 3887000 is about 1971.5476154534. The cubic root of 3887000 is about 157.2310013166.

The spelling of 3887000 in words is "three million, eight hundred eighty-seven thousand".

Divisors: 1 2 4 5 8 10 13 20 23 25 26 40 46 50 52 65 92 100 104 115 125 130 169 184 200 230 250 260 299 325 338 460 500 520 575 598 650 676 845 920 1000 1150 1196 1300 1352 1495 1625 1690 2300 2392 2600 2875 2990 3250 3380 3887 4225 4600 5750 5980 6500 6760 7475 7774 8450 11500 11960 13000 14950 15548 16900 19435 21125 23000 29900 31096 33800 37375 38870 42250 59800 74750 77740 84500 97175 149500 155480 169000 194350 299000 388700 485875 777400 971750 1943500 3887000