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4254000 = 24353709
BaseRepresentation
bin10000001110100100110000
322000010101120
4100032210300
52042112000
6231102240
751105222
oct20164460
98003346
104254000
112446103
121511980
13b5c37a
147ca412
155906a0
hex40e930

4254000 has 80 divisors (see below), whose sum is σ = 13734240. Its totient is φ = 1132800.

The previous prime is 4253969. The next prime is 4254007. The reversal of 4254000 is 4524.

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

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4254007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5646 + ... + 6354.

It is an arithmetic number, because the mean of its divisors is an integer number (171678).

Almost surely, 24254000 is an apocalyptic number.

4254000 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 4254000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6867120).

4254000 is an abundant number, since it is smaller than the sum of its proper divisors (9480240).

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

4254000 is a wasteful number, since it uses less digits than its factorization.

4254000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 4254000 is about 2062.5227271475. The cubic root of 4254000 is about 162.0313915695.

Adding to 4254000 its reverse (4524), we get a palindrome (4258524).

The spelling of 4254000 in words is "four million, two hundred fifty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 709 750 1000 1200 1418 1500 2000 2127 2836 3000 3545 4254 5672 6000 7090 8508 10635 11344 14180 17016 17725 21270 28360 34032 35450 42540 53175 56720 70900 85080 88625 106350 141800 170160 177250 212700 265875 283600 354500 425400 531750 709000 850800 1063500 1418000 2127000 4254000