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2142450 = 23452232
BaseRepresentation
bin1000001011000011110010
311000211220000
420023003302
51022024300
6113530430
724132132
oct10130362
94024800
102142450
111233722
12873a16
135a022b
143daac2
152c4c00
hex20b0f2

2142450 has 90 divisors (see below), whose sum is σ = 6222909. Its totient is φ = 546480.

The previous prime is 2142449. The next prime is 2142457. The reversal of 2142450 is 542412.

2142450 is a `hidden beast` number, since 214 + 2 + 450 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2099601 + 42849 = 1449^2 + 207^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=1035.

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

It is not an unprimeable number, because it can be changed into a prime (2142457) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 93139 + ... + 93161.

22142450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2142450

2142450 is an abundant number, since it is smaller than the sum of its proper divisors (4080459).

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

2142450 is a wasteful number, since it uses less digits than its factorization.

2142450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 33 counting only the distinct ones).

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

The square root of 2142450 is about 1463.7110370562. The cubic root of 2142450 is about 128.9150332858.

Multiplying 2142450 by its sum of digits (18), we get a square (38564100 = 62102).

2142450 divided by its sum of digits (18) gives a square (119025 = 3452).

Adding to 2142450 its reverse (542412), we get a palindrome (2684862).

The spelling of 2142450 in words is "two million, one hundred forty-two thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 23 25 27 30 45 46 50 54 69 75 81 90 115 135 138 150 162 207 225 230 270 345 405 414 450 529 575 621 675 690 810 1035 1058 1150 1242 1350 1587 1725 1863 2025 2070 2645 3105 3174 3450 3726 4050 4761 5175 5290 6210 7935 9315 9522 10350 13225 14283 15525 15870 18630 23805 26450 28566 31050 39675 42849 46575 47610 71415 79350 85698 93150 119025 142830 214245 238050 357075 428490 714150 1071225 2142450