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4145000 = 2354829
BaseRepresentation
bin1111110011111101101000
321210120212112
433303331220
52030120000
6224501452
750142356
oct17637550
97716775
104145000
112381222
12147a888
13b21882
1479c7d6
1556d235
hex3f3f68

4145000 has 40 divisors (see below), whose sum is σ = 9723450. Its totient is φ = 1656000.

The previous prime is 4144981. The next prime is 4145003. The reversal of 4145000 is 5414.

It can be written as a sum of positive squares in 5 ways, for example, as 88804 + 4056196 = 298^2 + 2014^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (4145003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4586 + ... + 5414.

Almost surely, 24145000 is an apocalyptic number.

4145000 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 4145000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4861725).

4145000 is an abundant number, since it is smaller than the sum of its proper divisors (5578450).

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

4145000 is an equidigital number, since it uses as much as digits as its factorization.

4145000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 4145000 is about 2035.9273071502. The cubic root of 4145000 is about 160.6354934173.

The spelling of 4145000 in words is "four million, one hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 829 1000 1250 1658 2500 3316 4145 5000 6632 8290 16580 20725 33160 41450 82900 103625 165800 207250 414500 518125 829000 1036250 2072500 4145000