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209100420 = 223351273049
BaseRepresentation
bin11000111011010…
…01111010000100
3112120110101212000
430131221322010
5412012203140
632425425300
75116216134
oct1435517204
9476411760
10209100420
11a8039271
125a03b230
1334422579
141dab0ac4
1513555a30
hexc769e84

209100420 has 96 divisors (see below), whose sum is σ = 655872000. Its totient is φ = 55302912.

The previous prime is 209100379. The next prime is 209100457. The reversal of 209100420 is 24001902.

209100420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 209100393 and 209100402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67056 + ... + 70104.

It is an arithmetic number, because the mean of its divisors is an integer number (6832000).

Almost surely, 2209100420 is an apocalyptic number.

209100420 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 209100420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327936000).

209100420 is an abundant number, since it is smaller than the sum of its proper divisors (446771580).

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

209100420 is a wasteful number, since it uses less digits than its factorization.

209100420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3194 (or 3186 counting only the distinct ones).

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

The square root of 209100420 is about 14460.3049760370. The cubic root of 209100420 is about 593.5422450244.

The spelling of 209100420 in words is "two hundred nine million, one hundred thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 127 135 180 254 270 381 508 540 635 762 1143 1270 1524 1905 2286 2540 3049 3429 3810 4572 5715 6098 6858 7620 9147 11430 12196 13716 15245 17145 18294 22860 27441 30490 34290 36588 45735 54882 60980 68580 82323 91470 109764 137205 164646 182940 274410 329292 387223 411615 548820 774446 823230 1161669 1548892 1646460 1936115 2323338 3485007 3872230 4646676 5808345 6970014 7744460 10455021 11616690 13940028 17425035 20910042 23233380 34850070 41820084 52275105 69700140 104550210 209100420