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4114660 = 2251159317
BaseRepresentation
bin1111101100100011100100
321202001020211
433230203210
52023132120
6224105204
746655044
oct17544344
97661224
104114660
112360450
121465204
13b10b14
14791724
1556425a
hex3ec8e4

4114660 has 48 divisors (see below), whose sum is σ = 9616320. Its totient is φ = 1466240.

The previous prime is 4114651. The next prime is 4114667. The reversal of 4114660 is 664114.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (4114667) 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, 12822 + ... + 13138.

It is an arithmetic number, because the mean of its divisors is an integer number (200340).

Almost surely, 24114660 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 4114660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4808160).

4114660 is an abundant number, since it is smaller than the sum of its proper divisors (5501660).

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

4114660 is a wasteful number, since it uses less digits than its factorization.

4114660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 4114660 is about 2028.4624719230. The cubic root of 4114660 is about 160.2426007197.

Adding to 4114660 its reverse (664114), we get a palindrome (4778774).

It can be divided in two parts, 4114 and 660, that added together give a palindrome (4774).

The spelling of 4114660 in words is "four million, one hundred fourteen thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 59 110 118 220 236 295 317 590 634 649 1180 1268 1298 1585 2596 3170 3245 3487 6340 6490 6974 12980 13948 17435 18703 34870 37406 69740 74812 93515 187030 205733 374060 411466 822932 1028665 2057330 4114660