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4139800 = 235272957
BaseRepresentation
bin1111110010101100011000
321210022201221
433302230120
52024433200
6224421424
750121250
oct17625430
97708657
104139800
112378325
121477874
13b1c3b2
1479a960
1556b91a
hex3f2b18

4139800 has 48 divisors (see below), whose sum is σ = 11003760. Its totient is φ = 1418880.

The previous prime is 4139767. The next prime is 4139801. The reversal of 4139800 is 89314.

4139800 is digitally balanced in base 8, 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 (25).

4139800 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4139801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79 + ... + 2878.

It is an arithmetic number, because the mean of its divisors is an integer number (229245).

Almost surely, 24139800 is an apocalyptic number.

4139800 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 4139800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5501880).

4139800 is an abundant number, since it is smaller than the sum of its proper divisors (6863960).

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

4139800 is a wasteful number, since it uses less digits than its factorization.

4139800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2980 (or 2971 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 4139800 is about 2034.6498470253. The cubic root of 4139800 is about 160.5682916391.

The spelling of 4139800 in words is "four million, one hundred thirty-nine thousand, eight hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 2957 5914 11828 14785 20699 23656 29570 41398 59140 73925 82796 103495 118280 147850 165592 206990 295700 413980 517475 591400 827960 1034950 2069900 4139800