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2163420 = 22325717101
BaseRepresentation
bin1000010000001011011100
311001220122200
420100023130
51023212140
6114211500
724250230
oct10201334
94056580
102163420
111248456
12883b90
135a993c
144045c0
152cb030
hex2102dc

2163420 has 144 divisors (see below), whose sum is σ = 8019648. Its totient is φ = 460800.

The previous prime is 2163409. The next prime is 2163431. The reversal of 2163420 is 243612.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2163409) and next prime (2163431).

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

It is a d-powerful number, because it can be written as 29 + 1 + 63 + 3 + 48 + 221 + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 2163393 and 2163402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21370 + ... + 21470.

It is an arithmetic number, because the mean of its divisors is an integer number (55692).

22163420 is an apocalyptic number.

2163420 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 2163420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4009824).

2163420 is an abundant number, since it is smaller than the sum of its proper divisors (5856228).

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

2163420 is a wasteful number, since it uses less digits than its factorization.

2163420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2163420 is about 1470.8568931069. The cubic root of 2163420 is about 129.3342691917.

It can be divided in two parts, 216 and 3420, that multiplied together give a triangular number (738720 = T1215).

The spelling of 2163420 in words is "two million, one hundred sixty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 17 18 20 21 28 30 34 35 36 42 45 51 60 63 68 70 84 85 90 101 102 105 119 126 140 153 170 180 202 204 210 238 252 255 303 306 315 340 357 404 420 476 505 510 595 606 612 630 707 714 765 909 1010 1020 1071 1190 1212 1260 1414 1428 1515 1530 1717 1785 1818 2020 2121 2142 2380 2828 3030 3060 3434 3535 3570 3636 4242 4284 4545 5151 5355 6060 6363 6868 7070 7140 8484 8585 9090 10302 10605 10710 12019 12726 14140 15453 17170 18180 20604 21210 21420 24038 25452 25755 30906 31815 34340 36057 42420 48076 51510 60095 61812 63630 72114 77265 103020 108171 120190 127260 144228 154530 180285 216342 240380 309060 360570 432684 540855 721140 1081710 2163420