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200000420 = 22597103093
BaseRepresentation
bin10111110101111…
…00001110100100
3111221100001222222
423322330032210
5402200003140
631502411512
74645655414
oct1372741644
9457301888
10200000420
11a2993304
1256b90b98
1332587559
141c7c2644
15128595b5
hexbebc3a4

200000420 has 24 divisors (see below), whose sum is σ = 424334904. Its totient is φ = 79174656.

The previous prime is 200000417. The next prime is 200000431. The reversal of 200000420 is 24000002.

It can be written as a sum of positive squares in 4 ways, for example, as 17372224 + 182628196 = 4168^2 + 13514^2 .

200000420 is a modest number, since divided by 420 gives 200 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 200000398 and 200000407.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49607 + ... + 53486.

It is an arithmetic number, because the mean of its divisors is an integer number (17680621).

Almost surely, 2200000420 is an apocalyptic number.

200000420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200000420 is an abundant number, since it is smaller than the sum of its proper divisors (224334484).

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

200000420 is a wasteful number, since it uses less digits than its factorization.

200000420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103199 (or 103197 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

The square root of 200000420 is about 14142.1504729656. The cubic root of 200000420 is about 584.8039570048.

Adding to 200000420 its reverse (24000002), we get a palindrome (224000422).

The spelling of 200000420 in words is "two hundred million, four hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 97 194 388 485 970 1940 103093 206186 412372 515465 1030930 2061860 10000021 20000042 40000084 50000105 100000210 200000420