Search a number
-
+
3999660 = 2235789107
BaseRepresentation
bin1111010000011110101100
321112012111120
433100132230
52010442120
6221420540
745665550
oct17203654
97465446
103999660
112292005
12140a750
13aa0682
14761860
15540140
hex3d07ac

3999660 has 96 divisors (see below), whose sum is σ = 13063680. Its totient is φ = 895488.

The previous prime is 3999659. The next prime is 3999661. The reversal of 3999660 is 669993.

3999660 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3999659) and next prime (3999661).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

3999660 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (3999661) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37327 + ... + 37433.

It is an arithmetic number, because the mean of its divisors is an integer number (136080).

Almost surely, 23999660 is an apocalyptic number.

3999660 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 3999660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6531840).

3999660 is an abundant number, since it is smaller than the sum of its proper divisors (9064020).

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

3999660 is a wasteful number, since it uses less digits than its factorization.

3999660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 42.

The square root of 3999660 is about 1999.9149981937. The cubic root of 3999660 is about 158.7356074331.

It can be divided in two parts, 39 and 99660, that added together give a palindrome (99699).

The spelling of 3999660 in words is "three million, nine hundred ninety-nine thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 89 105 107 140 178 210 214 267 321 356 420 428 445 534 535 623 642 749 890 1068 1070 1246 1284 1335 1498 1605 1780 1869 2140 2247 2492 2670 2996 3115 3210 3738 3745 4494 5340 6230 6420 7476 7490 8988 9345 9523 11235 12460 14980 18690 19046 22470 28569 37380 38092 44940 47615 57138 66661 95230 114276 133322 142845 190460 199983 266644 285690 333305 399966 571380 666610 799932 999915 1333220 1999830 3999660