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4098380 = 22511131433
BaseRepresentation
bin1111101000100101001100
321201012220212
433220211030
52022122010
6223501552
746556426
oct17504514
97635825
104098380
11234a1a0
1214578b8
13b065a0
14789816
1555e505
hex3e894c

4098380 has 48 divisors (see below), whose sum is σ = 10118304. Its totient is φ = 1374720.

The previous prime is 4098371. The next prime is 4098389. The reversal of 4098380 is 838904.

Added to its reverse (838904) it gives a square (4937284 = 22222).

4098380 is digitally balanced in base 2, 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 (4098371) and next prime (4098389).

It is not an unprimeable number, because it can be changed into a prime (4098389) 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, 2144 + ... + 3576.

It is an arithmetic number, because the mean of its divisors is an integer number (210798).

Almost surely, 24098380 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 4098380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5059152).

4098380 is an abundant number, since it is smaller than the sum of its proper divisors (6019924).

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

4098380 is a wasteful number, since it uses less digits than its factorization.

4098380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 4098380 is about 2024.4456031220. The cubic root of 4098380 is about 160.0309835831.

Adding to 4098380 its reverse (838904), we get a square (4937284 = 22222).

The spelling of 4098380 in words is "four million, ninety-eight thousand, three hundred eighty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 572 715 1430 1433 2860 2866 5732 7165 14330 15763 18629 28660 31526 37258 63052 74516 78815 93145 157630 186290 204919 315260 372580 409838 819676 1024595 2049190 4098380