Search a number
-
+
3987280 = 2451123197
BaseRepresentation
bin1111001101011101010000
321111120112001
433031131100
52010043110
6221243344
745614503
oct17153520
97446461
103987280
112283780
121403554
13a97b4b
1475b13a
1553b63a
hex3cd750

3987280 has 80 divisors (see below), whose sum is σ = 10606464. Its totient is φ = 1379840.

The previous prime is 3987271. The next prime is 3987287. The reversal of 3987280 is 827893.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3987287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20142 + ... + 20338.

Almost surely, 23987280 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 3987280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5303232).

3987280 is an abundant number, since it is smaller than the sum of its proper divisors (6619184).

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

3987280 is a wasteful number, since it uses less digits than its factorization.

3987280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 238 counting only the distinct ones).

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

The square root of 3987280 is about 1996.8174678723. The cubic root of 3987280 is about 158.5716620092.

The spelling of 3987280 in words is "three million, nine hundred eighty-seven thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 40 44 46 55 80 88 92 110 115 176 184 197 220 230 253 368 394 440 460 506 788 880 920 985 1012 1265 1576 1840 1970 2024 2167 2530 3152 3940 4048 4334 4531 5060 7880 8668 9062 10120 10835 15760 17336 18124 20240 21670 22655 34672 36248 43340 45310 49841 72496 86680 90620 99682 173360 181240 199364 249205 362480 398728 498410 797456 996820 1993640 3987280