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4380000 = 2535473
BaseRepresentation
bin10000101101010101100000
322020112020020
4100231111200
52110130000
6233513440
752141452
oct20552540
98215206
104380000
112521839
121572880
13ba4821
148202d2
155b7ba0
hex42d560

4380000 has 120 divisors (see below), whose sum is σ = 14564088. Its totient is φ = 1152000.

The previous prime is 4379987. The next prime is 4380001. The reversal of 4380000 is 834.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4380001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 59964 + ... + 60036.

Almost surely, 24380000 is an apocalyptic number.

4380000 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 4380000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7282044).

4380000 is an abundant number, since it is smaller than the sum of its proper divisors (10184088).

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

4380000 is an equidigital number, since it uses as much as digits as its factorization.

4380000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 4380000 is about 2092.8449536456. The cubic root of 4380000 is about 163.6155978138.

Adding to 4380000 its reverse (834), we get a palindrome (4380834).

The spelling of 4380000 in words is "four million, three hundred eighty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 73 75 80 96 100 120 125 146 150 160 200 219 240 250 292 300 365 375 400 438 480 500 584 600 625 730 750 800 876 1000 1095 1168 1200 1250 1460 1500 1752 1825 1875 2000 2190 2336 2400 2500 2920 3000 3504 3650 3750 4000 4380 5000 5475 5840 6000 7008 7300 7500 8760 9125 10000 10950 11680 12000 14600 15000 17520 18250 20000 21900 27375 29200 30000 35040 36500 43800 45625 54750 58400 60000 73000 87600 91250 109500 136875 146000 175200 182500 219000 273750 292000 365000 438000 547500 730000 876000 1095000 1460000 2190000 4380000