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2190420 = 2232543283
BaseRepresentation
bin1000010110110001010100
311010021200200
420112301110
51030043140
6114540500
724422031
oct10266124
94107620
102190420
111266771
12897730
135b900b
14410388
152d4030
hex216c54

2190420 has 72 divisors (see below), whose sum is σ = 6822816. Its totient is φ = 568512.

The previous prime is 2190413. The next prime is 2190427. The reversal of 2190420 is 240912.

It is an interprime number because it is at equal distance from previous prime (2190413) and next prime (2190427).

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

It is a junction number, because it is equal to n+sod(n) for n = 2190393 and 2190402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2190427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7599 + ... + 7881.

22190420 is an apocalyptic number.

2190420 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 2190420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3411408).

2190420 is an abundant number, since it is smaller than the sum of its proper divisors (4632396).

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

2190420 is a wasteful number, since it uses less digits than its factorization.

2190420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2190420 is about 1480.0067567413. The cubic root of 2190420 is about 129.8700871801.

The spelling of 2190420 in words is "two million, one hundred ninety thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 180 215 258 283 387 430 516 566 645 774 849 860 1132 1290 1415 1548 1698 1935 2547 2580 2830 3396 3870 4245 5094 5660 7740 8490 10188 12169 12735 16980 24338 25470 36507 48676 50940 60845 73014 109521 121690 146028 182535 219042 243380 365070 438084 547605 730140 1095210 2190420