Search a number
-
+
4380160 = 2952959
BaseRepresentation
bin10000101101011000000000
322020112110011
4100231120000
52110131120
6233514304
752142101
oct20553000
98215404
104380160
112521974
121572994
13ba4915
148203a8
155b7c5a
hex42d600

4380160 has 80 divisors (see below), whose sum is σ = 11048400. Its totient is φ = 1662976.

The previous prime is 4380157. The next prime is 4380163. The reversal of 4380160 is 610834.

It is an interprime number because it is at equal distance from previous prime (4380157) and next prime (4380163).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4380163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74211 + ... + 74269.

It is an arithmetic number, because the mean of its divisors is an integer number (138105).

Almost surely, 24380160 is an apocalyptic number.

4380160 is a gapful number since it is divisible by the number (40) 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 4380160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5524200).

4380160 is an abundant number, since it is smaller than the sum of its proper divisors (6668240).

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

4380160 is an equidigital number, since it uses as much as digits as its factorization.

4380160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 95 counting only the distinct ones).

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

The square root of 4380160 is about 2092.8831787752. The cubic root of 4380160 is about 163.6175900647.

Adding to 4380160 its reverse (610834), we get a palindrome (4990994).

The spelling of 4380160 in words is "four million, three hundred eighty thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 59 64 80 116 118 128 145 160 232 236 256 290 295 320 464 472 512 580 590 640 928 944 1160 1180 1280 1711 1856 1888 2320 2360 2560 3422 3712 3776 4640 4720 6844 7424 7552 8555 9280 9440 13688 14848 15104 17110 18560 18880 27376 30208 34220 37120 37760 54752 68440 74240 75520 109504 136880 151040 219008 273760 438016 547520 876032 1095040 2190080 4380160