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4141280 = 2551113181
BaseRepresentation
bin1111110011000011100000
321210101202202
433303003200
52030010110
6224432332
750125463
oct17630340
97711682
104141280
112379450
1214786a8
13b1cc80
1479b2da
1556c0a5
hex3f30e0

4141280 has 96 divisors (see below), whose sum is σ = 11557728. Its totient is φ = 1382400.

The previous prime is 4141279. The next prime is 4141283. The reversal of 4141280 is 821414.

4141280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4141283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22790 + ... + 22970.

It is an arithmetic number, because the mean of its divisors is an integer number (120393).

Almost surely, 24141280 is an apocalyptic number.

4141280 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 4141280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5778864).

4141280 is an abundant number, since it is smaller than the sum of its proper divisors (7416448).

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

4141280 is a wasteful number, since it uses less digits than its factorization.

4141280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 4141280 is about 2035.0135134686. The cubic root of 4141280 is about 160.5874240253.

Adding to 4141280 its reverse (821414), we get a palindrome (4962694).

The spelling of 4141280 in words is "four million, one hundred forty-one thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 65 80 88 104 110 130 143 160 176 181 208 220 260 286 352 362 416 440 520 572 715 724 880 905 1040 1144 1430 1448 1760 1810 1991 2080 2288 2353 2860 2896 3620 3982 4576 4706 5720 5792 7240 7964 9412 9955 11440 11765 14480 15928 18824 19910 22880 23530 25883 28960 31856 37648 39820 47060 51766 63712 75296 79640 94120 103532 129415 159280 188240 207064 258830 318560 376480 414128 517660 828256 1035320 2070640 4141280