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2145420 = 2233529137
BaseRepresentation
bin1000001011110010001100
311000222222000
420023302030
51022123140
6113552300
724143604
oct10136214
94028860
102145420
111235982
12875690
135a16a4
143dbc04
152c5a30
hex20bc8c

2145420 has 96 divisors (see below), whose sum is σ = 6955200. Its totient is φ = 548352.

The previous prime is 2145401. The next prime is 2145421. The reversal of 2145420 is 245412.

2145420 = T104 + T105 + ... + T240.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 2145393 and 2145402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2145421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15592 + ... + 15728.

It is an arithmetic number, because the mean of its divisors is an integer number (72450).

22145420 is an apocalyptic number.

2145420 is a gapful number since it is divisible by the number (20) 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 2145420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3477600).

2145420 is an abundant number, since it is smaller than the sum of its proper divisors (4809780).

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

2145420 is a wasteful number, since it uses less digits than its factorization.

2145420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2145420 is about 1464.7252302053. The cubic root of 2145420 is about 128.9745758441.

The spelling of 2145420 in words is "two million, one hundred forty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 45 54 58 60 87 90 108 116 135 137 145 174 180 261 270 274 290 348 411 435 522 540 548 580 685 783 822 870 1044 1233 1305 1370 1566 1644 1740 2055 2466 2610 2740 3132 3699 3915 3973 4110 4932 5220 6165 7398 7830 7946 8220 11919 12330 14796 15660 15892 18495 19865 23838 24660 35757 36990 39730 47676 59595 71514 73980 79460 107271 119190 143028 178785 214542 238380 357570 429084 536355 715140 1072710 2145420