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206051420 = 225311093049
BaseRepresentation
bin11000100100000…
…01100001011100
3112100201111102002
430102001201130
5410222121140
632240221432
75051260001
oct1422014134
9470644362
10206051420
11a6346533
125900a878
13338c5823
141d5198a8
1513152415
hexc48185c

206051420 has 48 divisors (see below), whose sum is σ = 450912000. Its totient is φ = 79004160.

The previous prime is 206051393. The next prime is 206051449. The reversal of 206051420 is 24150602.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 206051392 and 206051401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66056 + ... + 69104.

It is an arithmetic number, because the mean of its divisors is an integer number (9394000).

Almost surely, 2206051420 is an apocalyptic number.

206051420 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 206051420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225456000).

206051420 is an abundant number, since it is smaller than the sum of its proper divisors (244860580).

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

206051420 is a wasteful number, since it uses less digits than its factorization.

206051420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3198 (or 3196 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 206051420 is about 14354.4912832186. The cubic root of 206051420 is about 590.6431939936.

The spelling of 206051420 in words is "two hundred six million, fifty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 109 124 155 218 310 436 545 620 1090 2180 3049 3379 6098 6758 12196 13516 15245 16895 30490 33790 60980 67580 94519 189038 332341 378076 472595 664682 945190 1329364 1661705 1890380 3323410 6646820 10302571 20605142 41210284 51512855 103025710 206051420