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3987000 = 233253443
BaseRepresentation
bin1111001101011000111000
321111120010200
433031120320
52010041000
6221242200
745613623
oct17153070
97446120
103987000
112283546
121403360
13a97994
1475adba
1553b500
hex3cd638

3987000 has 96 divisors (see below), whose sum is σ = 13506480. Its totient is φ = 1060800.

The previous prime is 3986999. The next prime is 3987001. The reversal of 3987000 is 7893.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3986999) and next prime (3987001).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3987001) 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, 8779 + ... + 9221.

Almost surely, 23987000 is an apocalyptic number.

3987000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3987000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6753240).

3987000 is an abundant number, since it is smaller than the sum of its proper divisors (9519480).

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

3987000 is a wasteful number, since it uses less digits than its factorization.

3987000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 3987000 is about 1996.7473550752. The cubic root of 3987000 is about 158.5679501133.

The spelling of 3987000 in words is "three million, nine hundred eighty-seven thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 443 450 500 600 750 886 900 1000 1125 1329 1500 1772 1800 2215 2250 2658 3000 3544 3987 4430 4500 5316 6645 7974 8860 9000 10632 11075 13290 15948 17720 19935 22150 26580 31896 33225 39870 44300 53160 55375 66450 79740 88600 99675 110750 132900 159480 166125 199350 221500 265800 332250 398700 443000 498375 664500 797400 996750 1329000 1993500 3987000